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

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

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

simplify

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

7 x^{2} + 2 x - 5

Solution steps

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

Apply rule:

(a) = a

(- 3 x^{2} - 5 x - 3) = - 3 x^{2} - 5 x - 3

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

Apply the distributive law:

- (- a - b) = a + b

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

- 5 x + 7 x = 2 x

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

Subtract the numbers:

- 3 - 2 = - 5

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

\frac{x}{x - 4} + \frac{- 3}{4 - x}

2 (3 x + 5)

\frac{3 + 2}{5} + \frac{4}{3} - 2

\frac{( a ^{3} - b ^{3} )}{( a - b )}

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

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