Help Factorise an equation with fraction index?

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SUMMARY

The discussion focuses on the factorization of the equation x^(3/2) + a^(3/2) using the factor theorem. A participant suggests leveraging the identity x^3 + y^3 = (x + y)(x^2 - xy + y^2) to simplify the process. This approach clarifies the application of the factor theorem in handling equations with fractional indices. The conversation highlights the importance of recognizing algebraic identities in factorization tasks.

PREREQUISITES
  • Understanding of the factor theorem
  • Familiarity with algebraic identities, specifically x^3 + y^3
  • Knowledge of fractional indices in algebra
  • Basic skills in polynomial factorization
NEXT STEPS
  • Study the factor theorem in depth
  • Explore algebraic identities related to polynomial factorization
  • Practice problems involving fractional indices
  • Learn advanced techniques for simplifying algebraic expressions
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Students, educators, and anyone interested in algebraic factorization, particularly those dealing with fractional indices and polynomial equations.

ThomasJoe40
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Hello, all,

I am here is to ask how can I factorise an equation with fraction indeces?? (Help~)

The question I have got is x^(3/2) + a^(3/2), and the suggested method is using the factor theorem... but I just don't understand how could that works...

However, I would be very grateful if somebody could give me a hint~

Thanks
 
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[tex]x^3+y^3=(x+y)(x^2-xy+y^2)[/tex]
 
Oh, gosh, thanks a lot mate, I haven't thought of this way before...
 

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