Simplify (4n-20)^2

${(4 n - 20)}^{2}$

Rewrite ${(4 n - 20)}^{2}$ as $(4 n - 20) (4 n - 20)$ .

$(4 n - 20) (4 n - 20)$

Expand $(4 n - 20) (4 n - 20)$ using the FOIL Method.

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Apply the distributive property.

$4 n (4 n - 20) - 20 (4 n - 20)$

Apply the distributive property.

$4 n (4 n) + 4 n \cdot - 20 - 20 (4 n - 20)$

Apply the distributive property.

$4 n (4 n) + 4 n \cdot - 20 - 20 (4 n) - 20 \cdot - 20$

Simplify and combine like terms.

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Simplify each term.

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Multiply $n$ by $n$ .

$4 \cdot 4 n^{2} + 4 n \cdot - 20 - 20 (4 n) - 20 \cdot - 20$

Multiply $4$ by $4$ .

$16 n^{2} + 4 n \cdot - 20 - 20 (4 n) - 20 \cdot - 20$

Multiply $- 20$ by $4$ .

$16 n^{2} - 80 n - 20 (4 n) - 20 \cdot - 20$

Multiply $4$ by $- 20$ .

$16 n^{2} - 80 n - 80 n - 20 \cdot - 20$

Multiply $- 20$ by $- 20$ .

$16 n^{2} - 80 n - 80 n + 400$

Subtract $80 n$ from $- 80 n$ .

$16 n^{2} - 160 n + 400$

Simplify (4n-20)^2

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