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Question

Find the value of (x+y)(2x+y)+(x+2y)(xy) when x=2 and y=1


A

18

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B

17

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C

19

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D

21

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Solution

The correct option is C

19


Given (x+y)(2x+y)+(x+2y)(xy)

Substitute x=2 and y=1 in the above expression.

= (2+(1))(2(2)+(1))+(2+2(1))(2(1))

= (21)(41)+(22)(2+1)

= (3)(5)+(4)(1)

= 15+4

= 19


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