What is (-7x^2+5x+10)-(-10x+3) ?

The solution to (-7x^2+5x+10)-(-10x+3) is -7x^2+15x+7

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simplify (-7x^2+5x+10)-(-10x+3)

simplify

(- 7 x^{2} + 5 x + 10) - (- 10 x + 3)

- 7 x^{2} + 15 x + 7

Solution steps

(- 7 x^{2} + 5 x + 10) - (- 10 x + 3)

Apply rule:

(a) = a

(- 7 x^{2} + 5 x + 10) = - 7 x^{2} + 5 x + 10

= - 7 x^{2} + 5 x + 10 - (- 10 x + 3)

Apply the distributive law:

- (- a + b) = a - b

- (- 10 x + 3) = 10 x - 3

= - 7 x^{2} + 5 x + 10 + 10 x - 3

Group like terms

= - 7 x^{2} + 5 x + 10 x + 10 - 3

Add similar elements:

5 x + 10 x = 15 x

= - 7 x^{2} + 15 x + 10 - 3

Subtract the numbers:

10 - 3 = 7

= - 7 x^{2} + 15 x + 7

\frac{y ^{5} - 5 y ^{3} + 2 y}{y ^{- 3}}

\frac{2 ( r ) ^{2}}{6 r ^{5}}

\frac{2 ^{- 1}}{2 ^{- 5}}

2 x 32 x^{2}

\frac{3 - 3}{5 - 3}

What is (-7x^2+5x+10)-(-10x+3) ?
The solution to (-7x^2+5x+10)-(-10x+3) is -7x^2+15x+7