SOLUTION: Simplify x/x2nd power - 16 divided by x3power/x2nd power - 14x + 40

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Simplify x/x2nd power - 16 divided by x3power/x2nd power - 14x + 40      Log On


   



Question 143949: Simplify
x/x2nd power - 16 divided by x3power/x2nd power - 14x + 40

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x/x2nd power - 16 divided by x3power/x2nd power - 14x + 40
------------
x/(x^2-16)/x^3/(x^2-14x+40)
Factor where you can; then invert the denominator so you can multiply:
= [x/[(x-4)(x+4)]]
Cancel factors common to a numerator and a denominator: (x-4), x
= [1/(x+4)]
= (x-10)/[x^2(x+4)]
=======================
Cheers,
Stan H.