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What are the possible expressions for the dimension of the cub

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What are the possible expressions for the dimension of the cuboids whose volumes are given as in image?

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What are the possible expressions for the dimension of the cuboids whose volumes are given as in image?

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Text solutionVerified

(i)

3 x^{2} - 12 x = 3 x (x - 4)

= 3 \times x \times (x - 4)

,

The possible values of dimensions are

3, x

and

x - 4.

(ii)

12 k y^{2} + 8 k y - 20 k

= 4 k (3 y^{2} + 2 y - 5)

= 4 k (3 y^{2} + 5 y - 3 y + 5)

= 4 k {y (3 y + 5) - 1 (3 y + 5)}

= 4 k (3 y + 5) (y - 1)

The possible values of dimensions are

4 k

,

(3 y + 5)

and

(y - 1) .

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Question Text	What are the possible expressions for the dimension of the cuboids whose volumes are given as in image?
Answer Type	Text solution:1
Upvotes	150