Solve the product (p-9)(p-12)

 Exercise

$\left(p\:-\:9\right)\left(p\:-\:12\right)$

 

Multiply the single term $p-12$ by each term of the polynomial $\left(p-9\right)$

$p\left(p-12\right)-9\left(p-12\right)$

 

Multiply the single term $p$ by each term of the polynomial $\left(p-12\right)$

$p\cdot p-12p-9\left(p-12\right)$

 

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

$p^2-12p-9\left(p-12\right)$

 

Multiply the single term $-9$ by each term of the polynomial $\left(p-12\right)$

$p^2-12p-9p+108$

 

Combining like terms $-12p$ and $-9p$

$p^2-21p+108$

$p^2-21p+108$

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