Question

Factorise the following equation given below : x5-y5

Answer 1

$\textbf{Given:}$

$\mathsf{x^5-y^5}$

$\textbf{To factorise:}$

$\mathsf{x^5-y^5}$

$\textbf{Solution:}$

$\textbf{Identity used:}$

$\boxed{\begin{minipage}{10cm} \\\mathsf{x^n-y^n=(x-y)(x^{n-1}+x^{n-2}y+x^{n-3}y^2+........+xy^{n-2}+y^{n-1})}\\ \end{minipage}}$

$\mathsf{Consider,}$

$\mathsf{x^5-y^5}$

$\textsf{Using the above identity}$

$\mathsf{=(x-y)(x^4+x^3y+x^2y^2+xy^3+y^4)}$

$\implies\boxed{\mathsf{x^5-y^5=(x-y)(x^4+x^3y+x^2y^2+xy^3+y^4)}}$

$\textbf{Find more:}$

1.X2-(a-1/a)x+1 factorise the following

https://brainly.in/question/4301404#

2.Factorise x^4-(x-z)^4​

https://brainly.in/question/14993176#

3.Factorise 16 a square minus 25 B square minus 8 A plus one

https://brainly.in/question/15127396

Answer 2

Answer:

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