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Aloiza [94]
3 years ago
6

What is the factored form of this expression? 27m^3 +125n^3

Mathematics
2 answers:
ddd [48]3 years ago
5 0

Answer:

\left(3m+5n\right)\left(9m^2-15mn+25n^2\right)

Step-by-step explanation:

27m^3+125n^3=\left(3m\right)^3+\left(5n\right)^3

Apply sum of cubes formula: x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)

\left(3m\right)^3+\left(5n\right)^3=\left(3m+5n\right)\left(3^2m^2-3m\times 5n+5^2n^2\right)

\left(3m+5n\right)\left(9m^2-15mn+25n^2\right)

Annette [7]3 years ago
5 0
(3m+5n)(9m^2 - 15mn+25n^2)
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