A) \[12{{x}^{2}}+\frac{7xy}{5}-\frac{12{{y}^{2}}}{25}\]
B) \[12{{x}^{2}}+\frac{7xy}{5}+\frac{12{{y}^{2}}}{5}\]
C) \[12{{x}^{2}}-\frac{7xy}{5}-\frac{12{{y}^{2}}}{25}\]
D) None of these
Correct Answer: C
Solution :
\[\left( 4x+\frac{3y}{5} \right)\times \left( 3x-\frac{4y}{5} \right)\] \[=4x\left( 3x-\frac{4y}{5} \right)+\frac{3y}{5}\left( 3x-\frac{4y}{5} \right)\] \[=12{{x}^{2}}-\frac{16xy}{5}+\frac{9xy}{5}-\frac{12{{y}^{2}}}{25}\] \[=12{{x}^{2}}-\frac{7xy}{5}-\frac{12{{y}^{2}}}{25}\]
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