Question

(4x2 + 8x + 15) + (x2 − x − 27) − (x + 5)(x − 7)

Answer 1

`4x^2+9x+23`

Explanation:

Given:

`(4x^2+8x+15)+(x^2-x-27)-(x+5)(x-7)`

multiply last set of parenthesis

`(4x^2+8x+15)+(x^2-x-27)-(x^2-7x+5x-35)`

combine like terms

`(4x^2+8x+15)+(x^2-x-27)-(x^2-2x-35)`

simplify

`(4x^2+8x+15)+(x^2-x-27)-x^2+2x+35`

combine last set of parenthesis

`4x^2+8x+15+x+8`

simplify

`4x^2+9x+23`

Hope this helps! :)