What is (6x^2+2x)-(-9x^2-10x) ?

The solution to (6x^2+2x)-(-9x^2-10x) is 15x^2+12x

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simplify (6x^2+2x)-(-9x^2-10x)

simplify

(6 x^{2} + 2 x) - (- 9 x^{2} - 10 x)

15 x^{2} + 12 x

Solution steps

(6 x^{2} + 2 x) - (- 9 x^{2} - 10 x)

Apply rule:

(a) = a

(6 x^{2} + 2 x) = 6 x^{2} + 2 x

= 6 x^{2} + 2 x - (- 9 x^{2} - 10 x)

Apply the distributive law:

- (- a - b) = a + b

- (- 9 x^{2} - 10 x) = 9 x^{2} + 10 x

= 6 x^{2} + 2 x + 9 x^{2} + 10 x

Group like terms

= 6 x^{2} + 9 x^{2} + 2 x + 10 x

Add similar elements:

6 x^{2} + 9 x^{2} = 15 x^{2}

= 15 x^{2} + 2 x + 10 x

Add similar elements:

2 x + 10 x = 12 x

= 15 x^{2} + 12 x

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What is (6x^2+2x)-(-9x^2-10x) ?
The solution to (6x^2+2x)-(-9x^2-10x) is 15x^2+12x