SOLUTION: Factor: 2x^3-54y^3. (You will need to use the formula for a difference of cubes)

Question 200130: Factor: 2x^3-54y^3. (You will need to use the formula for a difference of cubes)
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

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Start with the given expression.

Rewrite as . Rewrite as .

Now factor by using the difference of cubes formula.

Remember the difference of cubes formula is

Multiply

So factors to .

In other words,

So factors further to

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Answer:

So completely factors to

In other words,
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