Thread: Factorization

How do you factor 27x^6+125y^6

Are you sure this is the right question? I don't see any factors in this expression...

Okay .. i suck at using the equation thingy on this website.. but i do know maths.. aloT for a tenth grader .. so here goes..

27x^6 +125y^6
can be written as

(3x^2)^3 + (5y^2)^3
can be represented using the identity a^3 + b^3 = (a+b)(a^2+ b^2 - ab)
whre a=(3x^2) ... b=(5y^2)
(3x^2 + 5y^2){9x^4 + 25y^4 - 15(xy)^2}

=(3x^2 + 5y^2){9x^4 + 25y^4 -2*15(xy)^2 + 15(xy)^2}

=(3x^2 + 5y^2){(3x^2 - 5y^2)^2 +15(xy)^2)}
..


DONE
plz dont get freaked out.. its easy.. just write it on a piece of a paper and you'll see
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