Solve the product (y-7)(y+3)

 Exercise

$\left(y-7\right)\left(y+3\right)$

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Multiply the single term $y+3$ by each term of the polynomial $\left(y-7\right)$

$y\left(y+3\right)-7\left(y+3\right)$

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

$y\cdot y+3y-7\left(y+3\right)$

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

$y^2+3y-7\left(y+3\right)$

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Multiply the single term $-7$ by each term of the polynomial $\left(y+3\right)$

$y^2+3y-7y-21$

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Combining like terms $3y$ and $-7y$

$y^2-4y-21$

$y^2-4y-21$

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