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Question

What must be subtracted from (x33x2+5x1) to get (2x3+x24x+2) ?

A

x3+4x2+9x3

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B

x34x2+6x3

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C

x34x2+9x9

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D

x34x2+9x3

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Solution

The correct option is D

x34x2+9x3


Let the expression to be subtracted be y.

Hence,
(x33x2+5x1)y=2x3+x24x+2

On rearranging the terms,
y=(x33x2+5x1)(2x3+x24x+2)

y=x33x2+5x12x3x2+4x2

y=x32x33x2x2+5x+4x12

y=x34x2+9x3

So we have to subtarct (x34x2+9x3) to get the required value.


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