Expand the expression (2x-4)(x+8)

 Exercise

$\left(2x-4\right)\left(x+8\right)$

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Multiply the single term $x+8$ by each term of the polynomial $\left(2x-4\right)$

$2x\left(x+8\right)-4\left(x+8\right)$

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Multiply the single term $2x$ by each term of the polynomial $\left(x+8\right)$

$2x\cdot x+16x-4\left(x+8\right)$

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

$2x^2+16x-4\left(x+8\right)$

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Multiply the single term $-4$ by each term of the polynomial $\left(x+8\right)$

$2x^2+16x-4x-32$

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Combining like terms $16x$ and $-4x$

$2x^2+12x-32$

$2x^2+12x-32$

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