Question

(α - 2) + (2α +5) - (3 - a) ------- ---------- --------- 7α 7α 7α​

Answer 1

$\frac{(a - 2) + (2a + 5) - (3 - a)}{7a} = \frac{a - 2 + 2a + 5 - 3 + a}{7a} = \\ = \frac{4a}{7a} = \frac{4}{7}$

Answer 2

To simplify the expression, let's perform the necessary operations step by step:

Step 1: Combine like terms in the numerator: (α - 2) + (2α + 5) - (3 - α) α + 2α - 3 + 5 - (3 - α) (Grouping like terms together) 3α + 2 - (3 - α) (Combining the constants) 3α + 2 - 3 + α (Distributing the negative sign) 4α - 1 (Combining like terms again)

Step 2: Simplify the denominator: 7α + 7α + 7α 21α

Now, the simplified expression is: (4α - 1) / (21α)