Question

6ab-6ac-6bx+6cx+6c-6b

Answer 1

$6a(b - c) - 6x(b - c) - 6(b - c) = \\ 6(a - x - 1)(b - c)$

Answer 2

6ab-6ac-6bx+6cx+6c-6b=6ab-6bx-6b-6ac+6cx+6c=6b(a-x-1)-6c(a-x-1)=(a-x-1)(6b-6c)=6(a-x-1)(b-c)

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Answer 3

To simplify the given expression 6ab - 6ac - 6bx + 6cx + 6c - 6b, we can combine like terms:

Step 1: Group the terms with similar variables together. (6ab - 6ac) + (-6bx + 6cx) + (6c - 6b)

Step 2: Factor out common terms from each group. 6a(b - c) + 6x(c - b) + 6(c - b)

Step 3: Observe that (b - c) and (c - b) are like terms, and they can be combined. 6a(b - c) + 6x(c - b) + 6(-1)(b - c)

Step 4: Factor out (b - c) from the expression. 6(b - c)(a + x - 1)

The simplified expression is: 6(b - c)(a + x - 1)