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

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

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

simplify

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

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

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (- a + b) = a - b

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

4 x - 6 x = - 2 x

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

16 (x + y)^{2} - 25 (x - 2 y)^{2}

\frac{4 a ^{16} + 2 b - 8}{2 ab}

\frac{8 x + 4}{2 x ^{2} - 5 x - 3}

\frac{6}{3 - 1}

8 y - 9 y

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