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Question

If x=123 then x33(x1)(x+2)=

A
6
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B
4
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C
5
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D
3
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Solution

The correct option is D 5

We have,

x=123

Then, x33(x1)(x+2)=?

Now,

x=123×2+32+3onrationalize

x=2+343

x=2+3

Then, put the equation,

x33(x1)(x+2)

=(2+3)33(2+31)(2+3+2)

=23+(3)3+3×2×3(2+3)3(1+3)(4+3)

=8+33+123+183(4+3+43+3)

=26+1533(7+53)

=26+15321153

=5


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