Question

simplify (x^5-y^5) ÷(x-y) (this question is a part of polynomials chapter) please explain and tell me the answer

Answer 1

Answer:

Step-by-step explanation:

$x^{n}-y^{n} =(x -y)(x^{n-1} + x^{n-2}*y^{1} +......+ xy^{n-2} + y^{n-1}\\\\\dfrac{x^{5}-y^{5}}{x-y}=\dfrac{(x -y)*(x^{4}+x^{3}*y^{1}+x^{2}*y^{2}+x*y^{3}+y^{4}}{(x-y)}$

            = x⁴  + x³y + x²y² + xy³ + y⁴