Question

7(y-3)-a(3-y)===================

Answer 1

7(y – 3) – a(3 – y) = 7(y – 3) + a(y – 3) = (7 + a)(y – 3)

Answer 2

To simplify the expression 7(y-3)-a(3-y), you can use the distributive property and then combine like terms. Here's how you can do it step by step:

1. Distribute the constants 7 and -a to the terms inside the parentheses: 7(y) - 7(3) - a(3) + a(y)

2. Now, multiply the constants by the terms inside the parentheses: 7y - 21 - 3a + ay

3. Group like terms (terms with 'y' and constant terms): (7y + ay) - (21 + 3a)

4. Combine the 'y' terms: 7y + ay can be written as (7 + a)y

So, the simplified expression is: (7 + a)y - (21 + 3a)

This is the simplified form of the expression 7(y-3)-a(3-y).