SOLUTION: completely factor the expression 16x^4-81y^4 a. (2x+3y)(2x-3y)(4x^2+9y^2) b. prime c. 0 d. (4x^2-9y^2)(4x^2+9y^2) If you could please explain I would really appreciate it

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: completely factor the expression 16x^4-81y^4 a. (2x+3y)(2x-3y)(4x^2+9y^2) b. prime c. 0 d. (4x^2-9y^2)(4x^2+9y^2) If you could please explain I would really appreciate it      Log On


   

Question 631470: completely factor the expression 16x^4-81y^4
a. (2x+3y)(2x-3y)(4x^2+9y^2)
b. prime
c. 0
d. (4x^2-9y^2)(4x^2+9y^2)
If you could please explain I would really appreciate it
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Use the difference of two squares formula
a%5E2-b%5E2=%28a-b%29%28a%2Bb%29

Answer: a. %282x%2B3y%29%282x-3y%29%284x%5E2%2B9y%5E2%29