Question

Factoring

64v^4-225w^10


I come up with

(8v^2+15w^2)(8v^2-15w^5) can I simplify it?

Answer 1

Your answer can't be simplified but it's also slightly incorrect. No worries!

You can simplify (64v^4 - 225w^10) by applying the difference of squares --> a^2 - b^2 = (a + b)(a - b)

Here, (64v^4) is a^2, and (225w^10) is b^2.

`√(64v^4 )` = a = 8v^2

`\sqrt{225w^(10) }` = b = 15w^5

Substitute the values:

(8v^2 + 15w^5)(8v^2 - 15w^5)

Therefore, the factorization of
`64x^(4) -225w^(10)` is:

`(8v^(2) + 15w^5)(8v^2-15w^5)`

The factorization is already the simplest. It can't be simplified further.