SOLUTION: can you please help me with this math equation? (x^2-y^2)(x^2+y^2)

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Question 170783: can you please help me with this math equation? (x^2-y^2)(x^2+y^2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E2-y%5E2%29%28x%5E2%2By%5E2%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%28x%5E2%29-y%5E2%29%28highlight%28x%5E2%29%2By%5E2%29 Multiply the First terms:%28x%5E2%29%2A%28x%5E2%29=x%5E4.


%28highlight%28x%5E2%29-y%5E2%29%28x%5E2%2Bhighlight%28y%5E2%29%29 Multiply the Outer terms:%28x%5E2%29%2A%28y%5E2%29=x%5E2%2Ay%5E2.


%28x%5E2%2Bhighlight%28-y%5E2%29%29%28highlight%28x%5E2%29%2By%5E2%29 Multiply the Inner terms:%28-y%5E2%29%2A%28x%5E2%29=-x%5E2%2Ay%5E2.


%28x%5E2%2Bhighlight%28-y%5E2%29%29%28x%5E2%2Bhighlight%28y%5E2%29%29 Multiply the Last terms:%28-y%5E2%29%2A%28y%5E2%29=-y%5E4.


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x%5E4%2Bx%5E2%2Ay%5E2-x%5E2%2Ay%5E2-y%5E4 Now collect every term to make a single expression.


x%5E4-y%5E4 Now combine like terms.


So %28x%5E2-y%5E2%29%28x%5E2%2By%5E2%29 FOILs to x%5E4-y%5E4.


In other words, %28x%5E2-y%5E2%29%28x%5E2%2By%5E2%29=x%5E4-y%5E4.