Solve the product (5b+7)(5b-6)

 Exercise

$\left(5b+7\right)\left(5b-6\right)$

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Multiply the single term $5b-6$ by each term of the polynomial $\left(5b+7\right)$

$5b\left(5b-6\right)+7\left(5b-6\right)$

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Multiply the single term $5b$ by each term of the polynomial $\left(5b-6\right)$

$25b\cdot b-30b+7\left(5b-6\right)$

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

$25b^2-30b+7\left(5b-6\right)$

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Multiply the single term $7$ by each term of the polynomial $\left(5b-6\right)$

$25b^2-30b+35b-42$

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Combining like terms $-30b$ and $35b$

$25b^2+5b-42$

$25b^2+5b-42$

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