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Brut [27]
3 years ago
10

What is the answer to g3h−343h4 in algebra 2

Mathematics
1 answer:
Olin [163]3 years ago
4 0

Given expression: g^3h-343h^4

First we would factor out gcf.

GCF is h there.

Factoring out h, we get

h(g^3-343h^3)

\mathrm{Rewrite\:}343\mathrm{\:as\:}7^3

7^3h^3=\left(7h\right)^3

Therefore,

g^3-343h^3 =g^3-\left(7h\right)^3

\mathrm{Apply\:Difference\:of\:Cubes\:Formula:\:}x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right)

=\left(g-7h\right)\left(g^2+7gh+7^2h^2\right)

=\left(g-7h\right)\left(g^2+7gh+49h^2\right)

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