SOLUTION: Please perform the indicated operation: (((4x^2)+(20x))/((x^3)+(4x^2))) * (x^2 + 8x + 16) Thank you, Steve

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please perform the indicated operation: (((4x^2)+(20x))/((x^3)+(4x^2))) * (x^2 + 8x + 16) Thank you, Steve      Log On


   

Question 970927: Please perform the indicated operation:
(((4x^2)+(20x))/((x^3)+(4x^2))) * (x^2 + 8x + 16)
Thank you,
Steve
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!


%28%28%284x%5E2%29%2B%2820x%29%29%2F%28x%5E3%2B4x%5E2%29%29+%2A+%28x%5E2+%2B+8x+%2B+16%29

%284x%5E2%2B20x%29%2F%28x%5E3%2B4x%5E2%29%2A%28x%5E2%2B8x%2B16%29

%28%284x%5E2%2B20x%29%28x%5E2%2B8x%2B16%29%29%2F%28x%5E3%2B4x%5E2%29

%284x%5E4%2B20x%5E3%2B32x%5E3%2B160x%5E2%2B64x%5E2%2B320x%29%2F%28x%5E3%2B4x%5E2%29

highlight%28%284x%5E4%2B52x%5E3%2B224x%5E2%2B320x%29%2F%28x%5E3%2B4x%5E2%29%29, this is probably the final form you want.

You could simplify by canceling x%2Fx, but that changes the meaning of the expression. You might also try polynomial division in case the denominator might be factor of the numerator, but again, that would give a quotient which is different from the rational form outlined in red.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Please perform the indicated operation:
(((4x^2)+(20x))/((x^3)+(4x^2))) * (x^2 + 8x + 16)
Thank you,
Steve
%28%284x%5E2+%2B+20x%29%2F%28x%5E3+%2B+4x%5E2%29%29+%2A+x%5E2+%2B+8x+%2B+16

%28%284x%5E2+%2B+20x%29+%2A+%28x%5E2+%2B+8x+%2B+16%29%29%2F%28x%5E3+%2B+4x%5E2%29

%284x%28x+%2B+5%29+%2A+%28x+%2B+4%29%28x+%2B+4%29%29%2Fx%5E2%28x+%2B+4%29



%284%28x+%2B+5%29%28x+%2B+4%29%29%2Fx

%284%28x%5E2+%2B+9x+%2B+20%29%29%2Fx

highlight_green%28%284x%5E2+%2B+36x+%2B+80%29%2Fx%29, or highlight_green%284x+%2B+36+%2B+80%2Fx%29