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

The product:

(5 x - y^5) ² is the squared binomial. The formula for the squared binomial is:

(A - B) ² = A² - 2 A B + B²

or:

(A + B) ² = A² + 2 A B + B²

In this case:

(5 x - y^5) ² = (5 x) ² - 2 · 5 x · y^5 + (y^5) ² =

= 25 x² - 10 x y^5 + y^10

Answer: The simpler form is 25 x² - 10 x y^5 + y^10