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5 votes
What is the factored form of 27a6+8g12?

2 Answers

7 votes

Answer:


\left(2g^4+3a^2\right)\left(4g^8-6g^4a^2+9a^4\right)

Explanation:


27a^6+8g^(12)


\mathrm{Rewrite\:}27a^6+8g^(12)\mathrm{\:as\:}\left(3a^2\right)^3+\left(2g^4\right)^3


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


\left(3a^2\right)^3+\left(2g^4\right)^3=\left(3a^2+2g^4\right)\left(3^2a^4-3\cdot \:2g^4a^2+2^2g^8\right)


=\left(2g^4+3a^2\right)\left(2^2g^8-3\cdot \:2g^4a^2+3^2a^4\right)


=\left(2g^4+3a^2\right)\left(4g^8-6g^4a^2+9a^4\right)

User Jama Mohamed
by
8.7k points
3 votes

Answer:

b

Explanation:

correct on edge 2021

the other one isnt even an option

User Armando
by
7.8k points