How do you factor #256a^3 + 4#?

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Answer 1 · 2018-03-17T01:54:30

#4(4a+1)(16a^2-4a+1)#

Given: #256a^3+4#

Factor out the greatest common factor.

#=4(64a^3+1)#

Now, we need a simple observation that #64a^3=(4a)^3#.

#=4((4a)^3+1^3)#

Apply #(a^3+b^3)=(a+b)(a^2-ab+b^2)#

#=4(4a+1)(16a^2-4a+1)#