Solve the product (u+9)(u+5)

 Exercise

$\left(u+9\right)\left(u+5\right)$

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Multiply the single term $u+5$ by each term of the polynomial $\left(u+9\right)$

$u\left(u+5\right)+9\left(u+5\right)$

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

$u\cdot u+5u+9\left(u+5\right)$

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

$u^2+5u+9\left(u+5\right)$

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Multiply the single term $9$ by each term of the polynomial $\left(u+5\right)$

$u^2+5u+9u+45$

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Combining like terms $5u$ and $9u$

$u^2+14u+45$

$u^2+14u+45$

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