Factor. (If the expression is nonfactorable over the integers, enter NONFACTORABLE.) x4 − 2401

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Factor. (If the expression is nonfactorable over the integers, enter NONFACTORABLE.)
x4 − 2401

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    2021-09-06T03:25:46+00:00

    x^4-2401=(x^2)^2-(49)^2\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x^2-49)(x^2+49)=(x^2-7^2)(x^2+49)\\\\=\boxed{(x-7)(x+7)(x^2+49)}

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