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

 Exercise

$\left(a+3\right)\:\left(-5+a\right)$

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

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

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

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

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

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

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

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

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

$-2a+a^2-15$

$-2a+a^2-15$

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