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Exercise

$et\cdot x\cdot t\cdot\left(\left(q-3\right)\left(q-4\right)+\left(q-3\right)\left(q+4\right)\right)$

Step-by-step Solution

1

When multiplying two powers that have the same base ($t$), you can add the exponents

$et^2x\left(\left(q-3\right)\left(q-4\right)+\left(q-3\right)\left(q+4\right)\right)$
2

Factor the polynomial $\left(\left(q-3\right)\left(q-4\right)+\left(q-3\right)\left(q+4\right)\right)$ by it's greatest common factor (GCF): $q-3$

$et^2x\left(q-3\right)\left(2q-4+4\right)$
3

Subtract the values $4$ and $-4$

$et^2x\left(q-3\right)2q$

Final answer to the exercise

$et^2x\left(q-3\right)2q$

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Main Topic: Multiply powers of same base

When multiplying powers of same base we can add the exponents.

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