Expand the expression (3x+7)(x+3)

 Exercise

$\left(3x+7\right)\left(x+3\right)$

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

$3x\left(x+3\right)+7\left(x+3\right)$

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

$3x\cdot x+9x+7\left(x+3\right)$

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

$3x^2+9x+7\left(x+3\right)$

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

$3x^2+9x+7x+21$

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Combining like terms $9x$ and $7x$

$3x^2+16x+21$

$3x^2+16x+21$

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