A) \[\left( xy-15 \right)\left( xy+3 \right)\]
B) \[\left( xy+15 \right)\left( xy+3 \right)\]
C) \[\left( xy-15 \right)\left( xy-3 \right)\]
D) \[\left( x-15 \right)\left( y+3 \right)\]
Correct Answer: A
Solution :
(a): \[~{{x}^{2}}{{y}^{2}}-12xy+45\] Here xy is a combined entity which we can call m = xy. \[\Rightarrow {{m}^{2}}-12m+45\] \[=\left( m-15 \right)\left( m+3 \right)\] Now, put back m = xy.
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