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

The solution to (10x^2-10x+2)-(-8x^2+7x-7) is 18x^2-17x+9

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

simplify

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

18 x^{2} - 17 x + 9

Solution steps

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

Apply rule:

(a) = a

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

= 10 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

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

Group like terms

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

Add similar elements:

10 x^{2} + 8 x^{2} = 18 x^{2}

= 18 x^{2} - 10 x - 7 x + 2 + 7

Add similar elements:

- 10 x - 7 x = - 17 x

= 18 x^{2} - 17 x + 2 + 7

Add the numbers:

2 + 7 = 9

= 18 x^{2} - 17 x + 9

(x + 3)^{2}

(4 a - 1)^{2}

(- 15)^{0}

lo g_{2} (36) - lo g_{2} (72)

x^{2} - 3^{2}

What is (10x^2-10x+2)-(-8x^2+7x-7) ?
The solution to (10x^2-10x+2)-(-8x^2+7x-7) is 18x^2-17x+9