alyssaluckett alyssaluckett

10-03-2017
Mathematics

Answered

(Divide the following polynomials (x5 + y5) ÷ (x + y)

Verified Answer :

09-01-2019

\(\text{Use}\ a^5+b^5=(a + b) (a^4 - a^3 b + a^2 b^2 - a b^3 + b^4).\\\\(x^5+y^5):(x+y)=\dfrac{x^5+y^5}{x+y}=\dfrac{(x+y)(x^4-x^3y+x^2y^2-xy^3+y^4)}{x+y}\\\\=\boxed{x^4-x^3y+x^2y^2-xy^3+y^4}\)

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