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3 years ago

How would the expression x^3+64 be written using sum of cubes

Mathematics

2 answers:

Darya [45]3 years ago

8 0

Answer: (x+4)(x^2-4x+16)

Step-by-step explanation: APEX

Hunter-Best [27]3 years ago

4 0

$\bf \textit{difference and sum of cubes}
\\\\
a^3+b^3 = (a+b)(a^2-ab+b^2)
\\\\
a^3-b^3 = (a-b)(a^2+ab+b^2)\\\\
-------------------------------\\\\
\boxed{64=4^3}\qquad \qquad x^3+64\implies x^3+4^3\implies (x+4)(x^2-4x+16)$

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