What is (-3x^2-9x+5)-(-2x^2-4x+7) ?

The solution to (-3x^2-9x+5)-(-2x^2-4x+7) is -x^2-5x-2

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simplify (-3x^2-9x+5)-(-2x^2-4x+7)

simplify

(- 3 x^{2} - 9 x + 5) - (- 2 x^{2} - 4 x + 7)

- x^{2} - 5 x - 2

Solution steps

(- 3 x^{2} - 9 x + 5) - (- 2 x^{2} - 4 x + 7)

Apply rule:

(a) = a

(- 3 x^{2} - 9 x + 5) = - 3 x^{2} - 9 x + 5

= - 3 x^{2} - 9 x + 5 - (- 2 x^{2} - 4 x + 7)

Apply the distributive law:

- (- a - b) = a + b

- (- 2 x^{2} - 4 x + 7) = 2 x^{2} + 4 x - 7

= - 3 x^{2} - 9 x + 5 + 2 x^{2} + 4 x - 7

Group like terms

= - 3 x^{2} + 2 x^{2} - 9 x + 4 x + 5 - 7

Add similar elements:

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

= - x^{2} - 9 x + 4 x + 5 - 7

Add similar elements:

- 9 x + 4 x = - 5 x

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

Subtract the numbers:

5 - 7 = - 2

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

\frac{18}{9}

(a^{2} + b^{2})^{2}

(- 5 x^{- 3} y^{0})^{- 1}

\frac{40}{6}

\frac{13}{8}

What is (-3x^2-9x+5)-(-2x^2-4x+7) ?
The solution to (-3x^2-9x+5)-(-2x^2-4x+7) is -x^2-5x-2