A) \[\left( un+vm \right)\left( um-vn \right)\]
B) \[\left( un+vm \right)\left( um+vn \right)\]
C) \[\left( un-vm \right)\left( um-vn \right)\]
D) \[\left( un-vm \right)\left( um+vn \right)\]
Correct Answer: C
Solution :
(c): \[mn({{u}^{2}}-{{v}^{2}})-uv\,({{m}^{2}}+{{n}^{2}})\] \[={{u}^{2}}mn+{{v}^{2}}mn\] \[=-\,uv{{m}^{2}}-uv{{n}^{2}}\] \[=un\left( um-vn \right)+vm\left( vn-um \right)\] \[=un\left( um-vn \right)-vm\left( um-un \right)\] \[=\left( un-vm \right)\left( um-vn \right).\]You need to login to perform this action.
You will be redirected in
3 sec