Question

Multiply and simplify completely:
(3x + 5) (2x2 – 3x + 2)
Show all work for full credit.

Answer 1

`6x^3+x^2-9x+10`

Explanation:

`(3x+5)(2x^2 - 3x+2)`

Distribute

`3x(2x^2-3x+2)+5(2x^2-3x+2)`

Distribute

`6x^3-9x^2+6x+5(2x^2-3x+2)`

Distribute again

`6x^3-9x^2+6x+10x^2-15x+10`

Combine like terms

`6x^3+1x^2+6x-15x+10`

Multiply by 1

`6x^3+x^2+6x-15x+10`

Combine like terms

`6x^3+x^2-9x+10`

Answer 2

`(3x + 5)(2 {x}^(2) - 3x + 2) \\ \\ (3x)(2 {x}^(2) - 3x + 2) + (5)(2 {x}^(2) - 3x + 2) \\ \\ 6 {x}^(3) - 9 {x}^(2) + 6x + 10 {x}^(2) - 15x + 10 \\ \\ = 6 {x}^(3) + {x}^(2) - 9x + 10`

I hope I helped you^_^