Use the “difference of squares” rule to factor the following expression: 100a^6-64b^8
100a^6 - 64b^8.
First, take the sqrt of each term:
(10a^3 + 8b^4)(10a^3 - 8b^4),
Factor again:
2(5a^3 + 4b^4)*2(5a^3 - 4b^4).
First, take the sqrt of each term:
(10a^3 + 8b^4)(10a^3 - 8b^4),
Factor again:
2(5a^3 + 4b^4)*2(5a^3 - 4b^4).