Question

12. The simple interest on a certain sum for 2 years at 12% per annum is 2100. Find the corresponding compound interest.
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Answer 1

Answer:

3x3y2×(2x−3y)

=3x3y2⋅2x−3x3y2⋅3y

=6x4y2−9x3y3

Now, for x=−1,y=2, we have

L.H.S.-

3x3y2×(2x−3y)

=3(−1)3(2)2(2⋅(−1)−3⋅(2))

=3⋅(−1)⋅4×(−2−6)

=(−12)×(−8)

=96

R.H.S.-

6x4y2−9x3y3

=6(−1)4(2)2−9(−1)3(2)3

=6⋅1⋅4−9⋅(−1)⋅8

=24+72

=96