SOLUTION: Factor using the formula for the sum or difference of two cubes: 27y^4+8y Thanks for the help

Question 182028This question is from textbook
: Factor using the formula for the sum or difference of two cubes:
27y^4+8y
Thanks for the help This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given expression

Factor out the GCF

Now let's focus on the inner expression

------------------------------------------------------------

Start with the given expression.

Rewrite as . Rewrite as .

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

Multiply

So factors to .

In other words,

------------------------------------------------------------

So this means that factors to

Answer:
So completely factors to

RELATED QUESTIONS
Factor using the formula for the sum or difference of two cubes: 54-16y^3 Thanks... (answered by jim_thompson5910)

Step by step Factor using the formula for the sum or difference of two cubes... (answered by Alan3354)

I need to factor 27x^3 - 8y^3 using the difference of two cubes... (answered by nerdybill)

factor the sum or difference of cubes.... (answered by Alan3354)

Factor the sum or difference of two cubes. z^3+64 (answered by DrBeeee,Alan3354)

Factor the sum or difference of two cubes.... (answered by solver91311)

factor the sum or difference of two cubes... (answered by josgarithmetic)

Factor each difference of two squares; completely factor: x^4-16 Thanks for the... (answered by jim_thompson5910)

Use the sum-of-two-cubes pattern to factor the following. (125x^3+27y^3) I've got: (answered by Fombitz)