SOLUTION: pleas help me simplify the following: {{{ D(f)= ((f+0.5)/(f+5))*((6)/(f^3+4f^2+3f)) }}}

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Question 1157944: pleas help me simplify the following:
+D%28f%29=+%28%28f%2B0.5%29%2F%28f%2B5%29%29%2A%28%286%29%2F%28f%5E3%2B4f%5E2%2B3f%29%29+
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Simplify....

%28%28f%2B0.5%29%2F%28f%2B5%29%29%2A%28%286%29%2F%28f%5E3%2B4f%5E2%2B3f%29%29

In the first fraction, get rid of the decimals; they only complicate things.

%28%282f%2B1%29%2F%282%28f%2B5%29%29%29%2A%28%286%29%2F%28f%5E3%2B4f%5E2%2B3f%29%29

In the second fraction, factor the polynomial denominator.



"Do" the multiplication and see if there are any common factors in the numerator and denominator. Unfortunately, the only common factor is 2.

%28%283%29%282f%2B1%29%29%2F%28%28f%2B5%29%28f%29%28f%2B1%29%28f%2B3%29%29

I would leave the expression in this form. I think it is more "simplified" then if we perform the multiplications to get large polynomials in the numerator and denominator.