What is (-5q^2+6q+7)-(-q^2+4q) ?

The solution to (-5q^2+6q+7)-(-q^2+4q) is -4q^2+2q+7

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simplify (-5q^2+6q+7)-(-q^2+4q)

simplify

(- 5 q^{2} + 6 q + 7) - (- q^{2} + 4 q)

- 4 q^{2} + 2 q + 7

Solution steps

(- 5 q^{2} + 6 q + 7) - (- q^{2} + 4 q)

Apply rule:

(a) = a

(- 5 q^{2} + 6 q + 7) = - 5 q^{2} + 6 q + 7

= - 5 q^{2} + 6 q + 7 - (- q^{2} + 4 q)

Apply the distributive law:

- (- a + b) = a - b

- (- q^{2} + 4 q) = q^{2} - 4 q

= - 5 q^{2} + 6 q + 7 + q^{2} - 4 q

Group like terms

= - 5 q^{2} + q^{2} + 6 q - 4 q + 7

Add similar elements:

- 5 q^{2} + q^{2} = - 4 q^{2}

= - 4 q^{2} + 6 q - 4 q + 7

Add similar elements:

6 q - 4 q = 2 q

= - 4 q^{2} + 2 q + 7

\frac{13}{7}

2 lo g_{10} (4)

lo g_{6} (32)

- 6^{- 2}

What is (-5q^2+6q+7)-(-q^2+4q) ?
The solution to (-5q^2+6q+7)-(-q^2+4q) is -4q^2+2q+7