SOLUTION: 1. divide and simplify (x^2-16/x^2+4x+4) divided by (x^2+3x-4/x^2-x-2)

Question 170640: 1. divide and simplify (x^2-16/x^2+4x+4) divided by (x^2+3x-4/x^2-x-2)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. divide and simplify (x^2-16/x^2+4x+4) divided by (x^2+3x-4/x^2-x-2)
----------------------------------
Factor where you can:
= [(x-4)(x+4)/(x+2)^2] / [(x+4)(x-1)/(x-2)(x+1)]
Invert the denominator and multiply:
= [(x-4)(x+4)/(x+2)^2] * [(x-2)(x+1)/(x+4)(x-1)]
Cancel factors that are common to a numerator and a denominator,
such as (x+4),
= [(x-4)/(x+2)^2] * [(x-2)(x+1)/(x-1)]
============================================
Cheers,
Stan H.
RELATED QUESTIONS
Divide and simplify x^2 - 16/x divided by x +4/x + 5 I got (x - 4)(x... (answered by Alan3354)

Divide x^2-4x+16 divided by... (answered by jsmallt9)

simplify 3x^2+13x+4/x^2-4 divided by 4x+16/x+2 = 3x^2+13x+4/(x-2) x 1/4x+16 simplify... (answered by MathLover1)

Divide and simplify. x^3 - 8 / x^2 + 2x + 4 (divided by) x^2 - 4 / x^2 + 6x + 8 (answered by MathLover1,MathTherapy)

3x^2-11x-4/x^2-16 divided by... (answered by jsmallt9)

(x^3 + 6x^2 + 4x - 16) divided by (x+4)=... (answered by brownef8)

divide and simplify x^2-4 /x-2 divide 1/x^2-x thank... (answered by mangopeeler07)

Simplify completely: x^4-16 over x^2+4 divided by x^2-7x-18 over... (answered by checkley71)

Simplify x/x-4 divided by 2+... (answered by PRMath)