Expand the expression (x-7)(4x+7)

 Exercise

$\left(x-7\right)\left(4x+7\right)$

 

Multiply the single term $4x+7$ by each term of the polynomial $\left(x-7\right)$

$x\left(4x+7\right)-7\left(4x+7\right)$

 

Multiply the single term $x$ by each term of the polynomial $\left(4x+7\right)$

$4x\cdot x+7x-7\left(4x+7\right)$

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

$4x^2+7x-7\left(4x+7\right)$

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Multiply the single term $-7$ by each term of the polynomial $\left(4x+7\right)$

$4x^2+7x-28x-49$

 

Combining like terms $7x$ and $-28x$

$4x^2-21x-49$

$4x^2-21x-49$

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