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

asked Jul 1, 2020 169k views

5 votes

8.1k points

Please log in or register to add a comment.

0 votes

Answer:

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

Explanation:

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

Sunwukung answered Jul 8, 2020

7.3k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.5m questions

12.2m answers