How do you simplify $8 (n - 7) + 4 n (n + 4)$ $8(n-7)+4n(n+4)$ ?

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How do you simplify $8 (n - 7) + 4 n (n + 4)$ $8(n-7)+4n(n+4)$ ?

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Answer 1 · 2016-04-13T06:56:19

$= 4 n^{2} + 24 n - 56$ $= 4n^2 + 24 n - 56$

Explanation:

$8 (n - 7) + 4 n (n + 4)$ $color(green)(8) ( n -7 ) + color(blue)(4n) ( n+4)$

$= 8 \cdot (n) + 8 \cdot (- 7) + 4 n \cdot (n) + 4 n \cdot (4)$ $= color(green)(8) * ( n) + color(green)(8) * ( -7 ) + color(blue)(4n) * ( n) + color(blue)(4n)* (4)$

$= 8 n - 56 + 4 n^{2} + 16 n$ $= 8n - 56 + 4n^2 + 16n$

$= 4 n^{2} + (16 n + 8 n) - 56$ $= 4n^2 + (16n + 8n ) - 56$

$= 4 n^{2} + 24 n - 56$ $= 4n^2 + 24 n - 56$

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How do you simplify $8 (n - 7) + 4 n (n + 4)$ $8(n-7)+4n(n+4)$ ?

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How do you simplify $8 (n - 7) + 4 n (n + 4)$ $8(n-7)+4n(n+4)$ ?