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iragen [17]
3 years ago
9

Which of the following is x⁴ + y⁴ identically equal to?

Mathematics
1 answer:
love history [14]3 years ago
8 0
x^4+y^4 \\ \\x^4= (x^2)^2, y^4 = (y^2)^2 \\ \\x^4- y^4= (x^2)^2 - (y^2)^2 = (x^2 + y^2)(x^2 - y^2 )\\ \\now  \ you \ can \ factor \  the \  second  \ again  \\ \\(hopefully \ you  \ see \  that \ it's  \ a \  difference \ of \ squares): \\ \\x^4 - y^4= (x^2 + y^2)(x + y)(x - y) \\ \\Answer : \ (A) \ (x^2 + y^2)(x + y)(x - y) \\ \\  \\ a^2-b^2 =(a-b)(a+b)
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