Possible webpage title: How to Factorize x^5y^2 + x^2y^5 in Algebra

Thread starter alpha01
Start date Mar 2, 2008

AI Thread Summary

The expression x^5y^2 + x^2y^5 can be factored by first identifying common factors. The common term x^2y^2 is factored out, resulting in x^2y^2(x^3 + y^3). The sum of cubes formula can then be applied to simplify further. This approach effectively leads to a complete factorization of the original expression. The solution demonstrates the importance of recognizing common factors in algebraic expressions.

Mar 2, 2008

alpha01

[SOLVED] factorizing x^5y^2 + x^2y^5

factorize:

x^5y^2 + x^2y^5

The Attempt at a Solution

I have attempted to use difference of two squares by re-arranging as:

x^5y^2 + y^5x^2

but this doesn't get me anywhere

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Mar 2, 2008

Google_Spider

Take out common things.
x^2y^2(x^3+y^3)

Now use the expansion for (x^3+y^3)

Mar 2, 2008

alpha01

easy. thanks ;)

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