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

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


   

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) About Me  (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
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Outer: (x/3) * -(3/5) = -3x/15
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Inner: (3/4) * (3x/4) = 9x/16
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Last: (3/4) * -(3/5) = -9/20
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Put them altogether:
%283x%5E2%29%2F12+-+%283x%29%2F15+%2B+%289x%29%2F16+-+9%2F20
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Combine the two center terms, the common denominator; 16*15 = 240
%2816%29%283x%2F240%29+-+%2815%29%289x%29%2F240 = %2848x%2F240%29+-+%28135x%29%2F240 = -%2887x%29%2F240; this is the solution middle term
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Note on the 1st term: %283x%5E2%29%2F12 = x%5E2%2F4; the 3 cancels into 12
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We end up with:
x%5E2%2F4+-+%2887x%29%2F240++-+9%2F20
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