A) \[\frac{{{p}^{2}}}{2}+\frac{267}{40}p-18\]
B) \[\frac{{{p}^{2}}}{2}-\frac{267}{40}p-18\]
C) \[\frac{{{p}^{2}}}{2}+\frac{267}{40}p+18\]
D) \[\frac{{{p}^{2}}}{2}-\frac{267}{40}p+18\]
Correct Answer: D
Solution :
We have, \[\left( \frac{4p}{5}-3 \right)\times \left( \frac{5p}{8}-6 \right)\] \[=\frac{{{p}^{2}}}{2}-\frac{24}{5}p-\frac{15}{8}p+18=\frac{{{p}^{2}}}{2}-\frac{267}{40}p+18\]
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