What is (-8x^2+8x-10)-(-9x^2+4x) ?

The solution to (-8x^2+8x-10)-(-9x^2+4x) is x^2+4x-10

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simplify (-8x^2+8x-10)-(-9x^2+4x)

simplify

(- 8 x^{2} + 8 x - 10) - (- 9 x^{2} + 4 x)

x^{2} + 4 x - 10

Solution steps

(- 8 x^{2} + 8 x - 10) - (- 9 x^{2} + 4 x)

Apply rule:

(a) = a

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

= - 8 x^{2} + 8 x - 10 - (- 9 x^{2} + 4 x)

Apply the distributive law:

- (- a + b) = a - b

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

= - 8 x^{2} + 8 x - 10 + 9 x^{2} - 4 x

Group like terms

= - 8 x^{2} + 9 x^{2} + 8 x - 4 x - 10

Add similar elements:

- 8 x^{2} + 9 x^{2} = x^{2}

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

Add similar elements:

8 x - 4 x = 4 x

= x^{2} + 4 x - 10

125 - 27 z^{3}

\frac{72}{84}

\frac{x ^{2} + 6}{1 - x}

- 15 - 16

4 x^{2} + 23 x - 35

What is (-8x^2+8x-10)-(-9x^2+4x) ?
The solution to (-8x^2+8x-10)-(-9x^2+4x) is x^2+4x-10