SlideShare a Scribd company logo
1 of 1
1.2 EXPANSION AND FACTORIZATION
1. Expand and simplify the following.
a) (2 – n)2
– n(n – 3) b)
( )
r
prp
22
+−
, r ≠ 0.
c) m2
+ (4k + m)(4k - m) d) 3(p – 2)2
+ 1 – 3p2
e) 6(b – 3) – 3(b – 1) f) (a + 2)2
2. Factorize the following :
a) 18x + 27 d) x2
(x – 3) + 12(x – 3)
b) 4x2
– 8x e) x2
+ 8x +15
c) 9x4
– 18x3
– 27x2
f) 6x2
– 17x + 12
Mariana11/7/2013

More Related Content

What's hot

Factoring quadratic-trinomials-of-the-form-ax2-
Factoring quadratic-trinomials-of-the-form-ax2-Factoring quadratic-trinomials-of-the-form-ax2-
Factoring quadratic-trinomials-of-the-form-ax2-AnnalizaTenioso
 
Microsoft word exercicio matemática com gabarito equações do 2º grau
Microsoft word   exercicio matemática com  gabarito equações do 2º grauMicrosoft word   exercicio matemática com  gabarito equações do 2º grau
Microsoft word exercicio matemática com gabarito equações do 2º grauBetão Betão
 
Summative Assessment Paper-3
Summative Assessment Paper-3Summative Assessment Paper-3
Summative Assessment Paper-3APEX INSTITUTE
 
7th PreAlg - L55--Feb3
7th PreAlg - L55--Feb37th PreAlg - L55--Feb3
7th PreAlg - L55--Feb3jdurst65
 
The sum of the triangle sides lengths reciprocals vs a cyclic sum of a specif...
The sum of the triangle sides lengths reciprocals vs a cyclic sum of a specif...The sum of the triangle sides lengths reciprocals vs a cyclic sum of a specif...
The sum of the triangle sides lengths reciprocals vs a cyclic sum of a specif...Mikołaj Hajduk
 
Mcq ch 1_fsc_part1_nauman
Mcq ch 1_fsc_part1_naumanMcq ch 1_fsc_part1_nauman
Mcq ch 1_fsc_part1_naumanAzhar Khalid
 
6.14.3 Circle Equations
6.14.3 Circle Equations6.14.3 Circle Equations
6.14.3 Circle Equationssmiller5
 
Alg March 24, 2009
Alg March 24, 2009Alg March 24, 2009
Alg March 24, 2009Mr. Smith
 
Finding coordinates parabol,cubic
Finding coordinates   parabol,cubicFinding coordinates   parabol,cubic
Finding coordinates parabol,cubicshaminakhan
 
Squaring binomials
Squaring binomialsSquaring binomials
Squaring binomialsAndrés
 
2.7 more parabolas a& hyperbolas (optional) t
2.7 more parabolas a& hyperbolas (optional) t2.7 more parabolas a& hyperbolas (optional) t
2.7 more parabolas a& hyperbolas (optional) tmath260
 

What's hot (18)

Factoring quadratic-trinomials-of-the-form-ax2-
Factoring quadratic-trinomials-of-the-form-ax2-Factoring quadratic-trinomials-of-the-form-ax2-
Factoring quadratic-trinomials-of-the-form-ax2-
 
Álgebra básica 1
Álgebra básica 1Álgebra básica 1
Álgebra básica 1
 
Microsoft word exercicio matemática com gabarito equações do 2º grau
Microsoft word   exercicio matemática com  gabarito equações do 2º grauMicrosoft word   exercicio matemática com  gabarito equações do 2º grau
Microsoft word exercicio matemática com gabarito equações do 2º grau
 
Ejercicios numeros complejos
Ejercicios numeros complejosEjercicios numeros complejos
Ejercicios numeros complejos
 
Summative Assessment Paper-3
Summative Assessment Paper-3Summative Assessment Paper-3
Summative Assessment Paper-3
 
Ch02 22
Ch02 22Ch02 22
Ch02 22
 
7th PreAlg - L55--Feb3
7th PreAlg - L55--Feb37th PreAlg - L55--Feb3
7th PreAlg - L55--Feb3
 
The sum of the triangle sides lengths reciprocals vs a cyclic sum of a specif...
The sum of the triangle sides lengths reciprocals vs a cyclic sum of a specif...The sum of the triangle sides lengths reciprocals vs a cyclic sum of a specif...
The sum of the triangle sides lengths reciprocals vs a cyclic sum of a specif...
 
Mcq ch 1_fsc_part1_nauman
Mcq ch 1_fsc_part1_naumanMcq ch 1_fsc_part1_nauman
Mcq ch 1_fsc_part1_nauman
 
6.14.3 Circle Equations
6.14.3 Circle Equations6.14.3 Circle Equations
6.14.3 Circle Equations
 
Tarea de Matematicas
Tarea de MatematicasTarea de Matematicas
Tarea de Matematicas
 
Alg March 24, 2009
Alg March 24, 2009Alg March 24, 2009
Alg March 24, 2009
 
Productos notables web 2.o
Productos notables web 2.oProductos notables web 2.o
Productos notables web 2.o
 
Finding coordinates parabol,cubic
Finding coordinates   parabol,cubicFinding coordinates   parabol,cubic
Finding coordinates parabol,cubic
 
Squaring binomials
Squaring binomialsSquaring binomials
Squaring binomials
 
2.7 more parabolas a& hyperbolas (optional) t
2.7 more parabolas a& hyperbolas (optional) t2.7 more parabolas a& hyperbolas (optional) t
2.7 more parabolas a& hyperbolas (optional) t
 
Números enteros Quinto
Números enteros Quinto Números enteros Quinto
Números enteros Quinto
 
Math hssc-ii-a1
Math hssc-ii-a1Math hssc-ii-a1
Math hssc-ii-a1
 

Viewers also liked

Algebra Is Weightlifting For The Brain
Algebra Is  Weightlifting For The  BrainAlgebra Is  Weightlifting For The  Brain
Algebra Is Weightlifting For The BrainMaria H. Andersen
 
Algebra 1 Slide Show
Algebra 1 Slide ShowAlgebra 1 Slide Show
Algebra 1 Slide Showjordysmith13
 
Algebra Expressions and Equations
Algebra Expressions and EquationsAlgebra Expressions and Equations
Algebra Expressions and EquationsKelly Williams
 
CBSE XII Boolean Algebra
CBSE XII Boolean AlgebraCBSE XII Boolean Algebra
CBSE XII Boolean AlgebraGuru Ji
 

Viewers also liked (6)

Algebra Is Weightlifting For The Brain
Algebra Is  Weightlifting For The  BrainAlgebra Is  Weightlifting For The  Brain
Algebra Is Weightlifting For The Brain
 
Algebra 1 Slide Show
Algebra 1 Slide ShowAlgebra 1 Slide Show
Algebra 1 Slide Show
 
Algebraic expression
Algebraic expressionAlgebraic expression
Algebraic expression
 
Real numbers
Real numbersReal numbers
Real numbers
 
Algebra Expressions and Equations
Algebra Expressions and EquationsAlgebra Expressions and Equations
Algebra Expressions and Equations
 
CBSE XII Boolean Algebra
CBSE XII Boolean AlgebraCBSE XII Boolean Algebra
CBSE XII Boolean Algebra
 

More from MARA

Assignment 2 HUM 3032 ENGINEERING MATHEMATICS 3
Assignment 2 HUM 3032 ENGINEERING MATHEMATICS 3Assignment 2 HUM 3032 ENGINEERING MATHEMATICS 3
Assignment 2 HUM 3032 ENGINEERING MATHEMATICS 3MARA
 
Assignment 2 HUM 3032 ENGINEERING MATHEMATICS 3
Assignment 2 HUM 3032 ENGINEERING MATHEMATICS 3Assignment 2 HUM 3032 ENGINEERING MATHEMATICS 3
Assignment 2 HUM 3032 ENGINEERING MATHEMATICS 3MARA
 
Exercise unit 1 hum3032
Exercise unit 1 hum3032Exercise unit 1 hum3032
Exercise unit 1 hum3032MARA
 
Exercise unit 1 differential equation (hum3032)
Exercise unit 1 differential equation (hum3032) Exercise unit 1 differential equation (hum3032)
Exercise unit 1 differential equation (hum3032) MARA
 
Exercise unit 1 hum3032
Exercise unit 1 hum3032Exercise unit 1 hum3032
Exercise unit 1 hum3032MARA
 
Assignment 2 DUM 3272 MATHEMATICS 3
Assignment 2 DUM 3272 MATHEMATICS 3Assignment 2 DUM 3272 MATHEMATICS 3
Assignment 2 DUM 3272 MATHEMATICS 3MARA
 
Assignment 1 DUM 3272 Mathematics 3
Assignment 1 DUM 3272 Mathematics 3Assignment 1 DUM 3272 Mathematics 3
Assignment 1 DUM 3272 Mathematics 3MARA
 
Revision test 1
Revision test 1Revision test 1
Revision test 1MARA
 
Revision test 1 hum1012 set 2
Revision test 1 hum1012 set 2Revision test 1 hum1012 set 2
Revision test 1 hum1012 set 2MARA
 
Revision test 1 hum1012 set 1
Revision test 1 hum1012 set 1Revision test 1 hum1012 set 1
Revision test 1 hum1012 set 1MARA
 
2.2 solutions of quadratic equations
2.2 solutions of quadratic equations2.2 solutions of quadratic equations
2.2 solutions of quadratic equationsMARA
 
2.1 solutions of algebraic equations
2.1 solutions of algebraic equations2.1 solutions of algebraic equations
2.1 solutions of algebraic equationsMARA
 
1.3 transposition of formulae
1.3 transposition of formulae1.3 transposition of formulae
1.3 transposition of formulaeMARA
 
1.1 operations of algebra
1.1 operations of algebra1.1 operations of algebra
1.1 operations of algebraMARA
 

More from MARA (14)

Assignment 2 HUM 3032 ENGINEERING MATHEMATICS 3
Assignment 2 HUM 3032 ENGINEERING MATHEMATICS 3Assignment 2 HUM 3032 ENGINEERING MATHEMATICS 3
Assignment 2 HUM 3032 ENGINEERING MATHEMATICS 3
 
Assignment 2 HUM 3032 ENGINEERING MATHEMATICS 3
Assignment 2 HUM 3032 ENGINEERING MATHEMATICS 3Assignment 2 HUM 3032 ENGINEERING MATHEMATICS 3
Assignment 2 HUM 3032 ENGINEERING MATHEMATICS 3
 
Exercise unit 1 hum3032
Exercise unit 1 hum3032Exercise unit 1 hum3032
Exercise unit 1 hum3032
 
Exercise unit 1 differential equation (hum3032)
Exercise unit 1 differential equation (hum3032) Exercise unit 1 differential equation (hum3032)
Exercise unit 1 differential equation (hum3032)
 
Exercise unit 1 hum3032
Exercise unit 1 hum3032Exercise unit 1 hum3032
Exercise unit 1 hum3032
 
Assignment 2 DUM 3272 MATHEMATICS 3
Assignment 2 DUM 3272 MATHEMATICS 3Assignment 2 DUM 3272 MATHEMATICS 3
Assignment 2 DUM 3272 MATHEMATICS 3
 
Assignment 1 DUM 3272 Mathematics 3
Assignment 1 DUM 3272 Mathematics 3Assignment 1 DUM 3272 Mathematics 3
Assignment 1 DUM 3272 Mathematics 3
 
Revision test 1
Revision test 1Revision test 1
Revision test 1
 
Revision test 1 hum1012 set 2
Revision test 1 hum1012 set 2Revision test 1 hum1012 set 2
Revision test 1 hum1012 set 2
 
Revision test 1 hum1012 set 1
Revision test 1 hum1012 set 1Revision test 1 hum1012 set 1
Revision test 1 hum1012 set 1
 
2.2 solutions of quadratic equations
2.2 solutions of quadratic equations2.2 solutions of quadratic equations
2.2 solutions of quadratic equations
 
2.1 solutions of algebraic equations
2.1 solutions of algebraic equations2.1 solutions of algebraic equations
2.1 solutions of algebraic equations
 
1.3 transposition of formulae
1.3 transposition of formulae1.3 transposition of formulae
1.3 transposition of formulae
 
1.1 operations of algebra
1.1 operations of algebra1.1 operations of algebra
1.1 operations of algebra
 

1.2 expansion and factorization

  • 1. 1.2 EXPANSION AND FACTORIZATION 1. Expand and simplify the following. a) (2 – n)2 – n(n – 3) b) ( ) r prp 22 +− , r ≠ 0. c) m2 + (4k + m)(4k - m) d) 3(p – 2)2 + 1 – 3p2 e) 6(b – 3) – 3(b – 1) f) (a + 2)2 2. Factorize the following : a) 18x + 27 d) x2 (x – 3) + 12(x – 3) b) 4x2 – 8x e) x2 + 8x +15 c) 9x4 – 18x3 – 27x2 f) 6x2 – 17x + 12 Mariana11/7/2013