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Identity (x+y)(x-y)

What are the ...

Question

What are the possible expressions for the dimensions of the cuboid whose volume is 3x^2-12x

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Solution

3x² - 12x
factorise
3x² - 12x

=3(x² - 4x)

=3x(x - 4)

There are only three factors, so there is only one combination of possible dimensions which are

3, x, and (x - 4)

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