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Question:

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

Solution:

(i) 3x²x = 3x(x²) = 3 × x × (x²), The possible values of dimensions are 3, x and x². (ii) 12ky² + 8ky = 4k(3y² + 2y) = 4k(3y² + 5y - 3y) = 4k(3y + 5)(y-3/5) = 4k(3y + 5)(y - 0.6) The possible values of dimensions are 4k, (3y+5) and (y-0.6).