Question

Write as a product.

4y^3 - 100y^5


Please do help me soon! Thank you!
I am offering 45 points to a correct answer!

Answer 1

Answer: 4y^3(1+5y)(1-5y)

Explanation:

Since both terms are perfect squares, factor using the difference of squares formula, a^2 − b^2 = ( a + b ) ( a − b ) where a = 1 and b = 5 y . 4 y^ 3 ( 1 + 5 y ) ( 1 − 5 y )

Answer 2

4y^3 - 100y^5

= -100y^5 + 4y^3

= -4 (25y^2-1)

= - 4y ^ 3 (25y ^ 2 - 5y + 5y - 1)

= -4y^ 3 ( 5(5y^2-y) + 5y - 1)

= - 4y ^ 3 (5y (5y-1) +5y-1)

= -4y^ 3 ( 5y - 1 ) (5y + 1)