SOLUTION: x^4-625y^4

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Question 618634: x^4-625y^4
Found 2 solutions by nerdybill, MathTherapy:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
I'll assume you are asking the following expression factored:
x^4-625y^4
Can be written as a "difference of squares":
(x^2)^2 - (25y^2)^2
(x^2 - 25y^2)(x^2 + 25y^2)
The left expression can be also be written as a "difference of squares":
(x^2 - (5y)^2)(x^2 + 25y^2)
which expands to:
(x^2 - 5y)(x^2 + 5y)(x^2 + 25y^2)

Answer by MathTherapy(10810) About Me  (Show Source):
You can put this solution on YOUR website!
x^4-625y^4

x%5E4+-+625y%5E4

%28x%5E2+-+25y%5E2%29%28x%5E2+%2B+25y%5E2%29

highlight_green%28%28x+-+5y%29%28x+%2B+5y%29%28x%5E2+%2B+25y%5E2%29%29

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