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Question

What are the possible polynomial expressions for the dimensions of the cuboids whose volumes are given below?
3x3−12x

A
3(x2)(x+2)
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B
3x(x2)(x+2)
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C
3x2(x2)(x+2)
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D
None of above
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Solution

The correct option is C 3x(x2)(x+2)
Given volume of cuboids is 3x312x
The volume of cuboid =lbh =3x(x24)
We know x2y2=(x+y)(xy)
3x(x24) =3x(x+2)(x2)
Then dimensions are 3x,(x+2) and (x2).

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