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Question 18

Square of 9x7xy is
a) 81x2+49x2y2
b) 81x249x2y2
c) 81x2+49x2y2126x2y
d) 81x2+49x2y263x2y


Solution

c) 81x2+49x2y2126x2y
Square of  (9x7xy)=(9x7xy)2
Comparing with (ab)2, we get a=9x and b=7xy
(9x7xy)2=(9x)22.9x.7xy+(7xy)2    [using the identity, (ab)2=a22ab+b2]
=81x2126x2y+49x2y2=81x2+49x2y2126x2y

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