What is (2x^2+10x-2)-(-8x^2+7x+7) ?

The solution to (2x^2+10x-2)-(-8x^2+7x+7) is 10x^2+3x-9

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simplify (2x^2+10x-2)-(-8x^2+7x+7)

simplify

(2 x^{2} + 10 x - 2) - (- 8 x^{2} + 7 x + 7)

10 x^{2} + 3 x - 9

Solution steps

(2 x^{2} + 10 x - 2) - (- 8 x^{2} + 7 x + 7)

Apply rule:

(a) = a

(2 x^{2} + 10 x - 2) = 2 x^{2} + 10 x - 2

= 2 x^{2} + 10 x - 2 - (- 8 x^{2} + 7 x + 7)

Apply the distributive law:

- (- a + b) = a - b

- (- 8 x^{2} + 7 x + 7) = 8 x^{2} - 7 x - 7

= 2 x^{2} + 10 x - 2 + 8 x^{2} - 7 x - 7

Group like terms

= 2 x^{2} + 8 x^{2} + 10 x - 7 x - 2 - 7

Add similar elements:

2 x^{2} + 8 x^{2} = 10 x^{2}

= 10 x^{2} + 10 x - 7 x - 2 - 7

Add similar elements:

10 x - 7 x = 3 x

= 10 x^{2} + 3 x - 2 - 7

Subtract the numbers:

- 2 - 7 = - 9

= 10 x^{2} + 3 x - 9

(- 8 x + 10) - (3 x^{2} - x + 6)

(2 x^{2} - 4) - (- x^{2} + 3 x - 6)

(3 x^{2} + 10) - (- 7 x^{2} - 9 x)

9 a^{3} + a

(x + 5)^{2} - x^{2}

What is (2x^2+10x-2)-(-8x^2+7x+7) ?
The solution to (2x^2+10x-2)-(-8x^2+7x+7) is 10x^2+3x-9