Question

Rewrite the expression below.

-2a(a+b-5)+3(-5a + 2b) + b(6a+b-8)

#1. The coefficient of the a² term is..?

#2. The coefficient of the ab term is..?

#3. The coefficient of the b term is..?

Answer 1

`1. \: \: - 2 {a}^(2)`

`2. \: \: 4ab`

`3. \: \: - 2`

Explanation:

-2a(a+b-5) +3(-5a+2b) +b(6a-b-8)

`- 2 {a}^(2) - 2ab + 10a - 15a + 6b + 6ab + {b}^(2) - 8b`

collecting like terms

`-2 {a }^(2) + {b}^(2) - 2ab + 6ab + 10a - 15a + 6b - 8b`

`= - 2 {a}^(2) + {b }^(2) + 4ab - 5a - 2b`