Solve the product (p+5)(p-3)

 Exercise

$\left(p+5\right)\left(p-3\right)$

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Multiply the single term $p-3$ by each term of the polynomial $\left(p+5\right)$

$p\left(p-3\right)+5\left(p-3\right)$

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Multiply the single term $p$ by each term of the polynomial $\left(p-3\right)$

$p\cdot p-3p+5\left(p-3\right)$

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

$p^2-3p+5\left(p-3\right)$

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Multiply the single term $5$ by each term of the polynomial $\left(p-3\right)$

$p^2-3p+5p-15$

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Combining like terms $-3p$ and $5p$

$p^2+2p-15$

$p^2+2p-15$

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