SOLUTION: I need to factor the following problems: 1. x^2+12x+36-y^4 2.(3x-1)^3+8 3.a^2-18a+81-b^4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need to factor the following problems: 1. x^2+12x+36-y^4 2.(3x-1)^3+8 3.a^2-18a+81-b^4      Log On


   

Question 897508: I need to factor the following problems:
1. x^2+12x+36-y^4
2.(3x-1)^3+8
3.a^2-18a+81-b^4
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
factor the following problems:
1. (x^2+12x+36)-y^4
(x+6)^2-y^4 (diff. of 2 squares)
(x+6+y^2)(x+6-y^2)
..
2.(3x-1)^3+8
(3x-1)^3+2^3 (sum of cubes)
(a^3+b^3)=(a+b)(a^2-ab+b^2)
(3x-1+2)((3x-1)^2-((3x-1)*2)+2^2)
(3x+1)(9x^2-6x+1)-(6x-2)+4)
(3x+1)(9x^2-6x+1-6x+2+4)
(3x+1)(9x^2-12x+7)
..
3.(a^2-18a+81)-b^4
(a-9)^2-b^4 (diff. of 2 squares)
(a-9+b^2)(a-9-b^2)