SOLUTION: Please help 8x^3 - 6x^2 + 2x / 4x+1= 8*x^3-6*x^2+3/2. Is this correct?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help 8x^3 - 6x^2 + 2x / 4x+1= 8*x^3-6*x^2+3/2. Is this correct?      Log On


   

Question 109006: Please help
8x^3 - 6x^2 + 2x / 4x+1= 8*x^3-6*x^2+3/2. Is this correct?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%288x%5E3+-+6x%5E2+%2B+2x%29+%2F+%284x%2B1%29………factor out x in nominator
x%288x%5E2+-+6x+%2B+2%29+%2F+%284x%2B1%29………write 6x as 2x – 8x


x(8x^2 + 2x – 8x + 2)/(4x + 1)….…..group 8x%5E2+%2B+2x and –+8x+%2B+2
x((8x^2 + 4x) – (8x + 2))/(4x + 1) here 8x%5E2+%2B+2x factor out 2x, and here -%288x+%2B+2%29 factor out 2
Then we have:
x(2x(4x + 1) – 2(4x + 1))/(4x + 1)..factor out 4x%2B1
x%28%284x+%2B+1%29%282x+-+2%29%29%2F%284x+%2B+1%29…..cancel 4x%2B1
x%282x+-+2%29%29…..factour out 2
2x%28x+-+1%29