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Question

Find the value of :
1x+p+1x+q+1x+r+pxx3+px2+qxx3+px2+rxx3+rx



Your Answer
A

1x+p+q+r

Your Answer
B

1p+1q+1r

Correct Answer
C

3x

Your Answer
D

3p+q+r


Solution

The correct option is B

3x


Given,
1x+p+1x+q+1x+r+pxx3+px2
+qxx3+qx2+rxx3+rx2=1x+p+1x+q+1x+r+pxx2(x+p)
+qxx2(x+q)+rxx2(x+r)=1x+p+px(x+p)+1x+q+qx(x+q)
+1x+r+rx(x+r)=(x+p)x(x+p)+(x+q)x(x+q)+(x+r)x(x+r)=1x+1x+1x=3x

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