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
