A cube is painted red on the two adjacent faces and black on the surfaces opposite to red surfaces and orange on the remaining faces. Now the cube is divided into 216 smaller cubes of equal size. How many smaller cubes will have no surface painted?
In the given figure (not drawn to scale), AD is parallel to BC. JDK, GHCI, EABF are straight and parallel lines.
(i) ∠GHD – ∠HDC (ii) ∠BCI + ∠HAB.
The factors of 8a3 + b3 - 6ab + 1 are
A (2a + b - 1)(4a2 + b2 + 1 - 3ab - 2a)
B (2ab - b + 1)(4a2 + b2 - 4ab + 1 - 2a + b)
C (2a + b + 1)(4a2 + b2 + 1 - 2ab - b - 2a)
D (2a - 1 + b)(4a2 + 1 - 4a - b - 2ab)
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