Answer
$-x^{2}-6x+10$
Work Step by Step
We are given that $Q(x)=4x^{2}-6x+3$ and $R(x)=5x^{2}-7$.
$Q(x)-R(x)=(4x^{2}-6x+3)-(5x^{2}-7)=(4x^{2}-6x+3)+(-5x^{2}+7)$
Combine like terms.
$(4x^{2}-5x^{2})-6x+(3+7)=-x^{2}-6x+10$
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