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

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Add, subtract, multiply, and divide polynomials

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Q.

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

Distribute negative sign: Distribute the negative sign to the second expression. $\newline$ $(-5q^2 + 6q + 7) - (-q^2 + 4q)$ $\newline$ = $(-5q^2 + 6q + 7) + q^2 - 4q$
Combine like terms: Combine like terms. $\newline$ Combine the $q^2$ terms and the $q$ terms. $\newline$ $(-5q^2 + q^2) + (6q - 4q) + 7$ $\newline$ $= -4q^2 + 2q + 7$

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