What is (-6x^2-10x+4)-(8x^2-8x) ?

The solution to (-6x^2-10x+4)-(8x^2-8x) is -14x^2-2x+4

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simplify (-6x^2-10x+4)-(8x^2-8x)

simplify

(- 6 x^{2} - 10 x + 4) - (8 x^{2} - 8 x)

- 14 x^{2} - 2 x + 4

Solution steps

(- 6 x^{2} - 10 x + 4) - (8 x^{2} - 8 x)

Apply rule:

(a) = a

(- 6 x^{2} - 10 x + 4) = - 6 x^{2} - 10 x + 4

= - 6 x^{2} - 10 x + 4 - (8 x^{2} - 8 x)

Apply the distributive law:

- (a - b) = - a + b

- (8 x^{2} - 8 x) = - 8 x^{2} + 8 x

= - 6 x^{2} - 10 x + 4 - 8 x^{2} + 8 x

Group like terms

= - 6 x^{2} - 8 x^{2} - 10 x + 8 x + 4

Add similar elements:

- 6 x^{2} - 8 x^{2} = - 14 x^{2}

= - 14 x^{2} - 10 x + 8 x + 4

Add similar elements:

- 10 x + 8 x = - 2 x

= - 14 x^{2} - 2 x + 4

n^{2} (n + 4)^{2} - 9 n (n + 4)

9 x^{2} + 4 x - (- 4) x^{2} - 7

(9 - 3 i) - (5 i - 8)

\frac{4}{3} - \frac{4}{3}

(3 x^{- 2} y^{- 3})^{- 4}

What is (-6x^2-10x+4)-(8x^2-8x) ?
The solution to (-6x^2-10x+4)-(8x^2-8x) is -14x^2-2x+4