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How do you solve #x^4-81#?

1 Answer

Dec 1, 2016

Resolve by factorization
#(x+3)(x-3)(x^2+9)#

Explanation:

Resolve by factorization considering #a^2 - b^2 = (a+b)(a-b)#
Detail is below
#x^4-3^4 = (x^2)^2-(3^2)^2=(x^2-3^2)(x^2+3^2)=(x+3)(x-3)(x^2+9)#

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