SOLUTION: Multiply the following. (x/3 + 3/4)(3x/4 – 3/5) This one is different and it contains fractions. Please help me?

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Question 75478: Multiply the following.

(x/3 + 3/4)(3x/4 – 3/5)
This one is different and it contains fractions. Please help me?

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
(x/3 + 3/4)(3x/4 – 3/5)
:
FOIL it, here it is step-by-step
First: (x/3) * (3x/4) = 3x^2/12
:
Outer: (x/3) * -(3/5) = -3x/15
:
Inner: (3/4) * (3x/4) = 9x/16
:
Last: (3/4) * -(3/5) = -9/20
:
Put them altogether:

:
Combine the two center terms, the common denominator; 16*15 = 240
= = ; this is the solution middle term
:
Note on the 1st term: = ; the 3 cancels into 12
:
We end up with:

:
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