Mathematics: How do i show that x5-y5=(x-y)(x4+x3y+x2y2+xy3+y4)

How do i show that x5-y5=(x-y)(x4+x3y+x2y2+xy3+y4) - id55432234276298, heartykwarteng12

xaviercarrasco04

10.03.2022

Step-by-step explanation:

Lets start with Left hand side

x^5 - y^5

To factor this we apply a formula

$x^n−y^n=(x-y)(x^{n-1}+x^{n-2}y+x^{n-3}y^2...+xy^{n-2}+y^{n-1})$

Here n = 5

$(x-y)(x^{5-1}+x^{5-2}y+x^{5-3}y^2+x^{5-4}y^3+x^{5-5}y^4)$

now we simplify it

(x-y)(x^4+x^3 y+x^2y^2+x^1y^3+x^0y^4)

(x-y)(x^4+x^3 y+x^2y^2+xy^3+y^4)

We got the right hand side

x^5 - y^5 = (x-y)(x^4+x^3 y+x^2y^2+xy^3+y^4)

0,0(0 оценок)

ZachLaVine2016

01.08.2020

7 becuz boonk gang

Step-by-step explanation:

please give me a thank you i love you bae

0,0(0 оценок)