Question

How do you multiply `(a+2) (a^2- 3a+7)`?

Answer 1

`=color(blue)(a^3 -a^2 +a+14`

Explanation:

`color(blue)((a+2))(a^2−3a+7)`

Here, we need to multiply each term within first bracket with the three terms of the second bracket.

`=color(blue)((a))(a^2−3a+7))+ color(blue)((2))(a^2−3a+7)`

`=a^3 -3a^2 +7a+ 2a^2 -6a+14`

grouping like terms

`=a^3 +( 2a^2-3a^2) +(7a-6a)+14`
`=color(blue)(a^3 -a^2 +a+14`