Multiply the binomials: $( x^{5}-y^{5})( x^{5}+y^{5})$.

 Given: Binomials: $( x^{5}-y^{5})$ and $( x^{5}+y^{5})$.

To do: To multiply the binomials: $( x^{5}-y^{5})$ and $( x^{5}+y^{5})$.

Solution:

$( x^{5}-y^{5})( x^{5}+y^{5})$

$=( x^5)^2-( y^5)^2$                                                  [$\because ( a+b)( a-b)=a^2-b^2$]

$=x^{10}-y^{10}$                                                          [$\because ( a^m)^n=a^{mn}$]

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

31 Views

Kickstart Your Career

Get certified by completing the course

Get Started