SOLUTION: Hello! I have a hard time with fractions. Here is my problem, and I wish to know if I worked it out correctly. (3/4x + 1/2)^2 = (3/4x + 1/2) (3/4x + 1/2) = 3/4x * 3/4x = 9

Algebra ->  Exponents -> SOLUTION: Hello! I have a hard time with fractions. Here is my problem, and I wish to know if I worked it out correctly. (3/4x + 1/2)^2 = (3/4x + 1/2) (3/4x + 1/2) = 3/4x * 3/4x = 9      Log On


   



Question 466627: Hello! I have a hard time with fractions. Here is my problem, and I wish to know if I worked it out correctly.
(3/4x + 1/2)^2
= (3/4x + 1/2) (3/4x + 1/2)
= 3/4x * 3/4x = 9/16x^2 --> 3/4x * 1/2 (((2/4 * 3/4x)) = 6/16x
= 1/2 * 1/2 = 1/4
= 9/16x^2 + 6/16x + 6/16x + 1/4
= 9/16x^2 + 12/16x + 1/4
I want to know if I worked this problem out correctly.

Found 2 solutions by rfer, Alan3354:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
9/16^2+3/4x+1/4

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
It's correct, but you can reduce the middle term.
9%2F16x%5E2+%2B+12%2F16x+%2B+1%2F4
= 9%2F16x%5E2+%2B+3%2F4x+%2B+1%2F4
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I suggest you use parentheses to clarify that 3/4x means (3/4)x and not 3/(4x)
= %289%2F16%29x%5E2+%2B+%283%2F4%29x+%2B+1%2F4
or = 9x%5E2%2F16+%2B+3x%2F4+%2B+1%2F4