What is (-10x^2-10x)-(-2x^2-10x) ?

The solution to (-10x^2-10x)-(-2x^2-10x) is -8x^2

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simplify (-10x^2-10x)-(-2x^2-10x)

simplify

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

- 8 x^{2}

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (- a - b) = a + b

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

- 10 x + 10 x = 0

= - 8 x^{2}

1 \frac{1}{4} - \frac{1}{2}

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

(8 + 7 i)^{2}

(2 + 2 i)^{- 1}

What is (-10x^2-10x)-(-2x^2-10x) ?
The solution to (-10x^2-10x)-(-2x^2-10x) is -8x^2