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icang [17]
3 years ago
6

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

Mathematics
1 answer:
nalin [4]3 years ago
8 0

Answer:

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

Step-by-step 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)

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