Solve the product (a-14)(a+10)

 Exercise

\left(a-14\right)\left(a+10\right)

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Multiply the single term $a+10$ by each term of the polynomial $\left(a-14\right)$

a\left(a+10\right)-14\left(a+10\right)

 

Multiply the single term $a$ by each term of the polynomial $\left(a+10\right)$

a\cdot a+10a-14\left(a+10\right)

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

a^2+10a-14\left(a+10\right)

 

Multiply the single term $-14$ by each term of the polynomial $\left(a+10\right)$

a^2+10a-14a-140

 

Combining like terms $10a$ and $-14a$

a^2-4a-140

a^2-4a-140

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