Solve the product (7ax+1)(7ax-6)

 Exercise

$\left(7ax+1\right)\left(7ax-6\right)$

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Multiply the single term $7ax-6$ by each term of the polynomial $\left(7ax+1\right)$

$7ax\left(7ax-6\right)+7ax-6$

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

$49axax-42ax+7ax-6$

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

$49a^2x\cdot x-42ax+7ax-6$

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

$49a^2x^2-42ax+7ax-6$

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Combining like terms $-42ax$ and $7ax$

$49a^2x^2-35ax-6$

$49a^2x^2-35ax-6$

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