1.
| a) a × a × a × a × a
| b) a × a × a × b × b
|
| c) a × a × a × a × a × b × b × b
| d) a × a × a × a × a × a
|
| e) a × a × a × a × a × a × a × a × a
| f) a × a × a × a × a
|
| g) a × a × a × a × a × a × a
| h) b × b × b × b × b × b × b
|
| i) a × a × a × a × a × a
| j) a × a × a × a × a × a × a × a
|
2.
d) a6
| e) a9
| f) a5
| g) a7
|
h) b7
| i) a6
| j) a8
|
3.
b) b × b × b ÷ (b × b)
= b
| c) b × b × b × b × b ÷ (b × b × b)
= b2
|
d) b × b × b × b × b × b × b ÷ (b × b × b)
= b4
| e) b × b × b × b × b × b × b × b ÷ (b × b × b)
= b5 |
4.
| a) a + 5b + c
| b) 8a2 + 2ab - a
| c) 6b2 + 6ab + 5a2
|
| d) 12a + 9b + 3a2
| e) 5ab2 - b2
|
5.
a) c + (2c - 1) + 4b + b + 4b + 3b
= 3c - 1 + 12b
| b) 1/2ab + 4ab + ab
= 5 1/2ab or 11/2ab |
6.
| Adding up the cells in each row, column or diagonal will simplify to 3m.
|
| E.g. (m + p) + (m - p + q) + (m - q)
=3m |
7.
| a) 4a + 12b | b) 3a3 + a3b | 2a2b2
|
| d) 12a4 + 9a3x | 5a2b2 + ab5 |
|
Solutions to short exercise on brackets.
|
| a) 3ax + 4bx | b) 3ab + 4b2 | c) 3a3 + 4a2b
|