What is (6x^2+7x+2)-(-9x^2-10) ?

The solution to (6x^2+7x+2)-(-9x^2-10) is 15x^2+7x+12

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simplify (6x^2+7x+2)-(-9x^2-10)

simplify

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

15 x^{2} + 7 x + 12

Solution steps

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

Apply rule:

(a) = a

(6 x^{2} + 7 x + 2) = 6 x^{2} + 7 x + 2

= 6 x^{2} + 7 x + 2 - (- 9 x^{2} - 10)

Apply the distributive law:

- (- a - b) = a + b

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

= 6 x^{2} + 7 x + 2 + 9 x^{2} + 10

Group like terms

= 6 x^{2} + 9 x^{2} + 7 x + 2 + 10

Add similar elements:

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

= 15 x^{2} + 7 x + 2 + 10

Add the numbers:

2 + 10 = 12

= 15 x^{2} + 7 x + 12

\frac{6 x + 2}{x ^{3} - 2 x - 7}

2 \frac{1}{5}

(- 4 x^{2} + 3 x + 3) - (4 x^{2} + 9)

\frac{x ^{2} + 2 x + 1}{x ^{2} - 1}

- (x + 1)^{2}

What is (6x^2+7x+2)-(-9x^2-10) ?
The solution to (6x^2+7x+2)-(-9x^2-10) is 15x^2+7x+12