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

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

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

simplify

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

7 x^{2} - 15 x - 7

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (- a + b) = a - b

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

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

Group like terms

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

Add similar elements:

- 10 x - 5 x = - 15 x

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

Subtract the numbers:

3 - 10 = - 7

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

4 \frac{1}{2} \cdot 2

∣ - 2 + 2 ∣

\frac{( 6 x ^{2} + x - 1 )}{( 3 x - 1 )}

\frac{3}{10} \div 6

(2^{- 3} \cdot 3^{2})^{2}

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