Question

What is the simpler form of the product? (5x-3y^5)^2

Answer 1

(5x-3y^5)^2
= 25x^2 - 30xy^5 + 9y^10

hope it helps

Answer 2

`25x^2-30xy^5+9y^(10)`

Explanation:

Using square binomial formula:

`(a-b)^2 = a^2-2ab+b^2`

To find the simpler form of the product:

`(5x-3y^5)^2`

Apply the square binomial formula:

`(5x)^2-2(5x)(3y^5)+(3y^5)^2`

Using exponent rules:

`(a^n)^m =a^(nm)`

⇒
`25x^2-30xy^5+9y^(10)`

therefore, the simpler form of the product is,
`25x^2-30xy^5+9y^(10)`