Factor the polynomial $\left(q-3\right)\left(q-4\right)+\left(q-3\right)\left(q+4\right)$ by it's greatest common factor (GCF): $q-3$
$\left(q-3\right)\left(2q-4+4\right)$
2
Subtract the values $4$ and $-4$
$\left(q-3\right)2q$
Final answer to the problem
$\left(q-3\right)2q$
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The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.