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

  • Thread starter Thread starter alpha01
  • Start date Start date
Click For Summary
SUMMARY

The expression x^5y^2 + x^2y^5 can be factorized as x^2y^2(x^3 + y^3). The initial approach of rearranging the terms to apply the difference of two squares was ineffective. Instead, identifying the common factors allowed for a straightforward factorization, leading to the use of the expansion formula for x^3 + y^3.

PREREQUISITES
  • Understanding of polynomial factorization
  • Familiarity with the formula for the sum of cubes
  • Basic algebraic manipulation skills
  • Knowledge of common factors in algebraic expressions
NEXT STEPS
  • Study the sum of cubes formula and its applications
  • Practice factoring various polynomial expressions
  • Learn about different methods of polynomial factorization
  • Explore advanced algebraic techniques for simplifying expressions
USEFUL FOR

Students studying algebra, educators teaching polynomial factorization, and anyone looking to improve their skills in simplifying algebraic expressions.

alpha01
Messages
77
Reaction score
0
[SOLVED] factorizing x^5y^2 + x^2y^5

factorize:


[tex]x^5y^2 + x^2y^5[/tex]



The Attempt at a Solution




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


[tex]x^5y^2 + y^5x^2[/tex]

but this doesn't get me anywhere
 
Physics news on Phys.org
Take out common things.
[tex]x^2y^2(x^3+y^3)[/tex]

Now use the expansion for [tex](x^3+y^3)[/tex]
 
easy. thanks ;)
 

Similar threads

Replies
1
Views
2K
  • · Replies 22 ·
Replies
22
Views
4K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 18 ·
Replies
18
Views
3K
Replies
7
Views
3K
Replies
4
Views
4K
Replies
7
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K