Write in Standard Form (-5q^2+6q+7)-(-q^2+4q)

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

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Simplify each term.

Apply the distributive property.

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

Multiply $- - q^{2}$ .

Multiply $- 1$ by $- 1$ .

$- 5 q^{2} + 6 q + 7 + 1 q^{2} - (4 q)$

Multiply $q^{2}$ by $1$ .

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

Multiply $4$ by $- 1$ .

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

Step 3

Simplify by adding terms.

Add $- 5 q^{2}$ and $q^{2}$ .

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

Subtract $4 q$ from $6 q$ .

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