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antoniya [11.8K]
3 years ago
5

What is the answer to 8x^3+125 by factoring the perfect cube?

Mathematics
1 answer:
expeople1 [14]3 years ago
3 0

Answer:

\large\boxed{8x^3+125=(2x+5)(4x^2-10x+25)}

Step-by-step explanation:

8x^3+125=2^3x^3+5^3=(2x)^3+5^3\\\\\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+5)((2x)^2-(2x)(5)+5^2)\\\\=(2x+5)(4x^2-10x+25)

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