The problem asks us to factor the expression $8x + 56 - ax - 7a$.

AlgebraFactoringAlgebraic ExpressionsGrouping
2025/3/17

1. Problem Description

The problem asks us to factor the expression 8x+56ax7a8x + 56 - ax - 7a.

2. Solution Steps

We can factor the given expression by grouping.
8x+56ax7a8x + 56 - ax - 7a
Group the first two terms and the last two terms:
(8x+56)+(ax7a)(8x + 56) + (-ax - 7a)
Factor out 88 from the first group and a-a from the second group:
8(x+7)a(x+7)8(x + 7) - a(x + 7)
Now we have a common factor of (x+7)(x+7) in both terms, so we can factor that out:
(x+7)(8a)(x + 7)(8 - a)

3. Final Answer

(x+7)(8a)(x+7)(8-a)

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