The document provides examples and explanations for expanding and simplifying algebraic expressions involving addition, subtraction, and multiplication of terms. It includes step-by-step workings for expanding expressions like (a + a) and (x + x + x + x) as well as more complex expressions combining addition, subtraction, and multiplication. It then provides practice problems for students to try expanding and simplifying similar algebraic expressions on their own.

2. Explanation:
Type1: Expand and simplify
a a
- +
4 3(2 5)
Þ - -
4 3 15
Þ-
15
a
a a

3. Explanation:
Type 2:Expand and simplify
x x x x
+ + + +
( 2)( 5) 2 ( 7)
2 2
x x x x x
Þ + + + + +
5 2 10 2 14
2
x x
Þ + +
3 21 10

4. Try these:
a a
- +
1)3 2(2 4)
- -
p
2)3( 4) 4
x x
- -
3)6 3(2 1)
x x
- +
4)8 4( 5)
+ + 2 +
m m m
5)7 ( 4) 2

5. More practice
m - n +
n
1)7(3 2 ) 8
p p p
- +
2)5 3 ( 2)
x - + -
x
3)3( 4) 2(4 )
x x x x
+ + + +
4)( 3)( 4) ( 2)
x x x x
+ + + +
5) ( 6) ( 1)( 2)
x x x
+ + + +
6)( 4)( 5) 6( 2)

6. More practice
m - n +
n
1)7(3 2 ) 8
p p p
- +
2)5 3 ( 2)
x - + -
x
3)3( 4) 2(4 )
x x x x
+ + + +
4)( 3)( 4) ( 2)
x x x x
+ + + +
5) ( 6) ( 1)( 2)
x x x
+ + + +
6)( 4)( 5) 6( 2)