Solve the product (q+4)(q-1)

 Exercise

$\left(q+4\right)\left(q-1\right)$

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Multiply the single term $q-1$ by each term of the polynomial $\left(q+4\right)$

$q\left(q-1\right)+4\left(q-1\right)$

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Multiply the single term $q$ by each term of the polynomial $\left(q-1\right)$

$q\cdot q-q+4\left(q-1\right)$

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

$q^2-q+4\left(q-1\right)$

 

Multiply the single term $4$ by each term of the polynomial $\left(q-1\right)$

$q^2-q+4q-4$

 

Combining like terms $-q$ and $4q$

$q^2+3q-4$

$q^2+3q-4$

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