The document provides step-by-step workings for squaring binomial expressions. It shows how to square terms like (2x - 2y) by expanding it to 4x^2 - 8xy + 4y^2. It then works through squaring more binomials with varying coefficients like (x + 9), (10x - 1), and composite expressions like [(a + b) + c]. Each is expanded using the formula (a + b)^2 = a^2 + 2ab + b^2.

1. (2x – 2y)2
(2x )2
2x
FIRST TERM
-2y
SECOND TERM
= 4x2
(2x )(- 2y)(2) = - 8xy
(- 2y )2 = 4y2
= 4x2 - 8xy+ 4y2
SQUARING A BINOMIAL

2. SQUARE THE BINOMIAL
(x + 9)2
(x)2=
=
= x2
(x)(9)(2) = 18x
(9)2 = 81=
= x2 + 18x + 81

3. SQUARE THE BINOMIAL
(x - 8)2
(x)2=
=
= x2
(x)(- 8)(2) = - 16x
(-8)2 = 64=
= x2 - 16x + 64

4. SQUARE THE BINOMIAL
(2x + 11)2
(2x)2=
=
= 4x2
(2x)(11)(2) = 44x
(11)2 = 121=
= 4x2 + 44x + 121

5. SQUARE THE BINOMIAL
(5x - 13)2
(5x)2=
=
= 25x2
(5x)(-13)(2) = - 130x
(-13)2 = 169=
= 25x2 – 130x + 169

6. SQUARE THE BINOMIAL
1. (ab + c)2
2. (10x - 1)2
3. (10x2 + 1)2
4. (7x – 6y)2
5. (7x + 6y)2
6. [(a + b) + c]2

7. SQUARE THE BINOMIAL
(ab + c)2
(ab)2=
=
= a2b2
(ab)(c)(2) = 2abc
(c)2 = c2=
= a2b2 + 2abc + c2

8. SQUARE THE BINOMIAL
(10x - 1)2
(10x)2=
=
= 100x2
(10x)(-1)(2) = - 20x
(- 1)2 = 1=
= 100x2 – 20x + 1

9. SQUARE THE BINOMIAL
(10x2 + 1)2
(10x2)2=
=
= 100x4
(10x2)(1)(2) = 20x2
(1)2 = 1=
= 100x4 + 20x2 + 1

10. SQUARE THE BINOMIAL
(7x – 6y)2
(7x)2=
=
= 49x2
(7x)(- 6y)(2) = - 84xy
(- 6y)2 = 36y2=
= 49x2 – 84xy + 36y2

11. SQUARE THE BINOMIAL
(7x + 6y)2
(7x)2=
=
= 49x2
(7x)(6y)(2) = 84xy
(6y)2 = 36y2=
= 49x2 + 84xy + 36y2

12. SQUARE THE BINOMIAL
[(a + b) + c]2
(a + b)2=
=
= (a + b)2
(a + b)(c)(2) = 2c(a + b)
(c)2 = c2=
= (a + b)2 + 2c(a + b) + c2