SOLUTION: Can you please explain how to solve for special polynomial products to the third degree. (x+y) to the third power. I know the answer is x to the third+3x squared y + 3xy squared+

Question 182046: Can you please explain how to solve for special polynomial products to the third degree. (x+y) to the third power. I know the answer is x to the third+3x squared y + 3xy squared+y squared. I need help understanding how to get this answer.
Thank you
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Expand. Remember something like expands to

Now let's FOIL the first two "x+y" terms:

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Start with the given expression.

Now let's FOIL the expression.

Remember, when you FOIL an expression, you follow this procedure:

Multiply the First terms:.

Multiply the Outer terms:.

Multiply the Inner terms:.

Multiply the Last terms:.

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

Now collect every term to make a single expression.

Now combine like terms.

So FOILs to .

In other words, .

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So this means that then becomes

Rearrange the terms.

Expand. Note:

Distribute.

Multiply.

Now combine like terms.

So expands to .

In other words, .

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Answer:

So
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