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How do you factor #x^4 + 27x#?

1 Answer

Jul 24, 2016

#=x(x+3)(x^2-3x+9)#

Explanation:

#x^4+27x#
#=x(x^3+27)#
#=x(x^3+3^3)#
As per formula #a^3+b^3=(a+b)(a^2-ab+b^2)#
we can write
#=x(x+3)(x^2-3x+3^2)#
#=x(x+3)(x^2-3x+9)#

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