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

The solution to (-4x^2-x+10)-(x^2+10x) is -5x^2-11x+10

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

simplify

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

- 5 x^{2} - 11 x + 10

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a + b) = - a - b

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

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

Group like terms

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

Add similar elements:

- 4 x^{2} - x^{2} = - 5 x^{2}

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

Add similar elements:

- x - 10 x = - 11 x

= - 5 x^{2} - 11 x + 10

(x + 1) (x + 3) - (x - 2)^{2}

512 - 27 a^{9}

- \frac{8}{9}

11.5 - 5 \frac{1}{2}

What is (-4x^2-x+10)-(x^2+10x) ?
The solution to (-4x^2-x+10)-(x^2+10x) is -5x^2-11x+10