SOLUTION: Please show me methodology for solving the following: Factor completely relative to integers. 20u^3v - 30u^2v^2 + 5uv^3 a(8c + d) - 3b(8c + d) 2a^2 - 8ab - 5ab + 20b

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please show me methodology for solving the following: Factor completely relative to integers. 20u^3v - 30u^2v^2 + 5uv^3 a(8c + d) - 3b(8c + d) 2a^2 - 8ab - 5ab + 20b      Log On


   



Question 212287: Please show me methodology for solving the following:
Factor completely relative to integers.
20u^3v - 30u^2v^2 + 5uv^3
a(8c + d) - 3b(8c + d)
2a^2 - 8ab - 5ab + 20b^2
9u^2 + 7uv - 2v^2

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Please show me methodology for solving the following:
Factor completely relative to integers.
:
Factor out the greatest common factor which is 5uv
20u^3v - 30u^2v^2 + 5uv^3 = 5uv(4u^2 - 6uv + v^2)
:
factor out (8c + d)
a(8c + d) - 3b(8c + d) = (8c + d)(a - 3b)
:
Factor each group of two, then factor out a - 4b
2a^2 - 8ab - 5ab + 20b^2 = 2a(a - 4b) - 5b(a - 4b) = (a - 4b)(2a - 5b)
:
Factor as a quadratic
9u^2 + 7uv - 2v^2
(9u - 2v)(u + v)
:
It will help you understand this if you multiply the factors (FOIL in some cases)
and see if you get the original expression