SOLUTION: Factor the polynomial completely: (2x+3)^3

SOLUTION: Factor the polynomial completely: (2x+3)^3 - 64

Question 144503: Factor the polynomial completely:
(2x+3)^3 - 64

Found 2 solutions by vleith, jim_thompson5910:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Recognize this a difference of two cubes (2x+3) and 4.
Read this --> http://www.purplemath.com/modules/specfact2.htm
Then solve accordingly
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Let a=2x+3

So we now have

Rewrite as . Rewrite as .

Now factor by using the difference of cubes formula. Remember the difference of cubes formula is

Multiply

Now replace each "a" with

Foil

Distribute

Combine like terms

-----------------------------------
Answer:
So factors to .

In other words,

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