SOLUTION: Please help..... Simplify by removing factors of 1: m^2-36/(m+6)^2 mulitply and simplify 9x^2/4x^2-32x +64 times 4x-16/3x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help..... Simplify by removing factors of 1: m^2-36/(m+6)^2 mulitply and simplify 9x^2/4x^2-32x +64 times 4x-16/3x      Log On


   



Question 243096: Please help.....
Simplify by removing factors of 1: m^2-36/(m+6)^2

mulitply and simplify
9x^2/4x^2-32x +64 times 4x-16/3x

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
m^2-36/(m+6)^2
(m+6)(m-6)/(m+6)(m+6) cancel out the (m+6) terms from the numerator & denominator.
(m-6)/(m+6)
----------------------------
9x^2/(4x^2-32x +64)*(4x-16)/3x cross multiply.
9x^2(4x-16)/3x(4x^2-32x+64) cancel out 3x from the numeratot & denominator.
3x(4x-16)/(4x^2-32x+64)factor numerator % denominator.
3x*4(x-4)/4(x^2-8x+16)
12x(x-4)/4(x-4)(x-4) cancel out the 4 & (x-4) terms.
3x/(x-4) ans.