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Question

If a=^i^j, b=^j+2^k, then the value of (a2b).(a+b) is

A
2
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B
-4
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C
6
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D
-9
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Solution

The correct option is D -9
a2b=(^i^j)2(^j+2^k)
=(^i^j)+2^j4^k
=(^i+^j4^k)(a+b)=(^i^j)+(^j+2^k)
=^i^j^j+2^k
=(^i2^j+2^k)
Now ,(a2b).(a+b)
=(^i+^j4^k).(^i2^j+2^k)
(1)(1)+(1)(2)+(4)(2)=9
(a2b).(a+b)=9

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