Factor GCF of 4x² out of the numerator.

Factor GCF of 8x out of the denominator.:







Factor the expression in parentheses in the numerator by using

the formula for the difference of cubes: A³-B³ = (A-B)(A²+AB+B²)

where A=2x and B=1





 





Cancel the 4 on the top into the 8 on the bottom.







Cancel the x on the bottom into the x² on the top







Cancel the (4x²+2x+1)'s







And all that's left is







Edwin 

RELATED QUESTIONS

I can't figure this out!

Find the sum (assume |x| < 1/2):... (answered by rothauserc)

Hi,
Please help me to solve step-by-step on these questions. 
Thank you very much.
5.... (answered by Alan3354)

may you please help me reduce this rational expression to lowest terms 

x^3 - xy^2/ 4x  (answered by lynnlo)

Factor the expression completely.  Make sure to show/explain your work.
 
32x^7 + 24x^5  (answered by MathLover1)

Build the rational expression into an equivalent rational expression with the indicated... (answered by Marth)

factor... (answered by checkley77)

factor... (answered by scott8148)




8x^2-32x+24
 (answered by checkley77)

        15y^3
  _________________

 (25t^3y^4)-(20uy^5)


reduce the follwing... (answered by ichudov,stanbon)