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Question

Dividing x(3x2−27) by 3(x−3) gives x2+3x.


A

False

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B

True

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Solution

The correct option is B

True


The given expression is

x(3x227)

Taking 3 common we get

= 3x(x29)

[Using a2b2=(a+b)(ab)]

= 3x(x+3)(x3)

= 3x(x+3)(x3)3(x3)

= x(x+3)

= x2+3x

Hence, the given statement is true


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