Question

Expanding Expressions: Expand the following expressions.

5 (r +2)
6b (b-2a)
8cd (c-2 +40)

Answer 1

`1) \: \: \: \: \: 5(r + 2) \\ \: \: \: \: \: \: \: \: 5r + 10 \\ \\ 2) \: \: \: \: \: 6b(b - 2a) \\ \: \: \: \: \: \: {6b}^(2) - 12ab \\ \\ 3) \: \: \: \: \: 8cd(c - 2 + 40) \\ \: \: {8c}^(2)d - 16cd + 320cd \\ {8c}^(2)d - 304cd`

Answer 2

Expand the following expressions.

1. 5 (r +2)

= (5×r) + (5×2)

= 5r + 10

2. 6b (b-2a)

= (6b×b) - (6b×2a)

= 6b²-12ba

3. 8cd (c-2 +40)

= (8cd×c) - (8cd×2) + (8cd×40)

= 8c²d - 16cd + 320cd

= 8c²+ 304cd