Expand the function. f(x)=(x + 7)^3

Jacques Bourque asked Feb 15, 2023

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Jacques Bourque asked Feb 15, 2023

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24 votes

Answer:

$f(x) = {x}^(3) + 21 {x}^(2) + 147x + 343$

Explanation:

$(x + 7 {)}^(3)$

${x}^(3) + 3 {x}^(2) * 7 + 3x * {7}^(2) + {7}^(3)$

${x}^(3) + {x}^(2) * 7 + 3x * 49 + 343$

${x}^(3) + 21 {x}^(2) + 147x + 343$

Therefore:

$f(x) = {x}^(3) + 21 {x}^(2) + 147x + 343$

Pengyang answered Feb 20, 2023

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