Question 91813
Question:


Multiply 

{{{(2r - 3s)(4r^2 + 6rs + 9s^2)}}}


Answer:

 

Multiply 

{{{(2r - 3s)(4r^2 + 6rs + 9s^2)}}}

==> {{{2r * (4r^2 + 6rs + 9s^2)- 3s *(4r^2 + 6rs + 9s^2)}}}


==>{{{2r *  4r^2 + 2r *  6rs + 2r *  9s^2)- 3s *4r^2  - 3s * 6rs  - 3s * 9s^2}}}


==> {{{ 8 * r^3 + 12* r^2 * s + 18 * r * s^2 - 12s r^2 - 18 r s^2 - 27 s^3 }}}


==> {{{ 8 * r^3 + 12* r^2 * s - 12s r^2 + 18 * r * s^2 - 18 r s^2 - 27 s^3 }}}


==> {{{ 8 * r^3 - 27 s^3 }}}



Hope you found the explanation useful...


Regards.


Praseena.