SOLUTION: simplify 3ac/x^2 + 2 / z^2 DIVIDED BY 1 - 4/ x^2z^2

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: simplify 3ac/x^2 + 2 / z^2 DIVIDED BY 1 - 4/ x^2z^2      Log On


   

Question 64365This question is from textbook An incremental Development
: simplify
3ac/x^2 + 2 / z^2
DIVIDED BY
1 - 4/ x^2z^2 This question is from textbook An incremental Development

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
3ac/x^2 + 2 / z^2
DIVIDED BY
1 - 4/ x^2z^2
:
Use the common denominator to put them into single fractions
%283ac%2Fx%5E2%29+%2B+%282+%2F+z%5E2%29 = %283acz%5E2+%2B+2x%5E2%29%2F%28x%5E2z%5E2%29
------------- = --------------
1+-+%284%2Fx%5E2z%5E2%29+ = %28x%5E2z%5E2+-+4%29%2Fx%5E2z%5E2%29+
:
When you divide fractions, invert the dividing fraction and mult, cancel x^2z^2's
:
%283acz%5E2+%2B+2x%5E2%29%2F%28x%5E2z%5E2%29 * %28x%5E2z%5E2%29%2F%28x%5E2z%5E2+-+4%29 = %283acz%5E2+%2B+2x%5E2%29%2F%28x%5E2z%5E2+-+4%29