SOLUTION: multiply. (sqrt8+3sqrt10) (sqrt8-3sqrt10) any help would be appreciated.

Question 257280: multiply.
(sqrt8+3sqrt10) (sqrt8-3sqrt10)
any help would be appreciated.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Let and

Replace each term with "x" and each term with "y"

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:.

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So we have the terms: , , ,

Now add every term listed above to make a single expression.

Now combine like terms.

So FOILs to .

In other words, .

Now plug in and

Square to get 8.

Square to get .

Subtract.

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Answer:

So

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