SOLUTION: How do i do (x-2)^2 over 4x^2 - 16 divided by 21x over 3x+6

Question 390329: How do i do (x-2)^2 over 4x^2 - 16 divided by 21x over 3x+6
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How do i do (x-2)^2 over 4x^2 - 16 divided by 21x over 3x+6
-----
[(x-2)^2/(4x^2-16)]/[21x/(3x+6)]
-----
Factor where you can:
---
= [(x-2)^2/(4(x-2)(x+2)]/[21x/(3(x+2)]
-----
Cancel where you can to get:
= [(x-2)/(4(x+2)]/[7x/(x+2)]
----
Invert the denominator and multiply:
----
= [(x-2)/(4(x+2)]
---
Cancel where you can to get:
= [(x-2)/4]
====
Multiply to get:
= (x-2)/(28x)
===================
Cheers,
Stan H.
-------

RELATED QUESTIONS
How do I solve xy^2 over x^2 divided by x over y^3 ? Ex. 3x over 5y divided by 21x... (answered by mananth)

How do I solve xy^2 over x^2y divided by x over y^3 ? Ex. 3x over 5y divided by 21x... (answered by Fombitz)

x^2+4x+4 over 8 divided by (x+2)^3 over 16 How do you go about solving this... (answered by arunpaul)

3x+6 over 4x+12 DIVIDED BY x^2-4 over... (answered by drk,jim_thompson5910)

How do I simplify the expression 2 divided by 6 over 3divided by 0... (answered by Mathtut)

how do I simplify this rational exp 4x over 3x+2 plus 6x over 3x+2 (answered by tutor_paul)

how do i find the produxt or quotient of 2k+8 over 6 divided by 3k+12 over... (answered by butterfliiizzz,unlockmath)

x^2-4x+4 over 3x-6 divided by... (answered by tommyt3rd)

Have I simplified the problem correctly? 3x^2 + 6x -45 divided by 3x^2 +21x+30 = I... (answered by htmentor,MathTherapy)