What is (5x^2-9x-10)-(-6x^2+6x) ?

The solution to (5x^2-9x-10)-(-6x^2+6x) is 11x^2-15x-10

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simplify (5x^2-9x-10)-(-6x^2+6x)

simplify

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

11 x^{2} - 15 x - 10

Solution steps

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

Apply rule:

(a) = a

(5 x^{2} - 9 x - 10) = 5 x^{2} - 9 x - 10

= 5 x^{2} - 9 x - 10 - (- 6 x^{2} + 6 x)

Apply the distributive law:

- (- a + b) = a - b

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

= 5 x^{2} - 9 x - 10 + 6 x^{2} - 6 x

Group like terms

= 5 x^{2} + 6 x^{2} - 9 x - 6 x - 10

Add similar elements:

5 x^{2} + 6 x^{2} = 11 x^{2}

= 11 x^{2} - 9 x - 6 x - 10

Add similar elements:

- 9 x - 6 x = - 15 x

= 11 x^{2} - 15 x - 10

5 (x + 5)

5 (x + 6)

5 (x + 9)

4 \cdot \frac{5}{3}

12 a \cdot (- 4)

What is (5x^2-9x-10)-(-6x^2+6x) ?
The solution to (5x^2-9x-10)-(-6x^2+6x) is 11x^2-15x-10