Question

Subtract (-9x^2+8x-14) from the sum of (-9x^2-10x) and (3x^2+3x+7)​

Answer 1

`3x^2 - 15x + 21\\or\,\,3(x^2 -5x +7)`

Explanation:

First we will find sum of
`(-9x^2-10x)\,\, and\,\, (3x^2+3x+7)`

Adding the like terms:

`= -9x^2-10x + 3x^2 +3x+7\\= -9x^2+ 3x^2 -10x+3x+7\\= -6x^2 - 7x +7`

Now subtract (-9x^2+8x-14) from (-6x^2 - 7x +7)

`=(-6x^2 - 7x +7) - (-9x^2+8x-14)\\= -6x^2 - 7x +7 +9x^2-8x+14\\= -6x^2 +9x^2 - 7x -8x+7 +14\\= 3x^2 - 15x + 21\\=3(x^2 -5x +7)`