Question

1)a(x+y) 2) 2(3x-1) 3) -2(2a-4b) 4) -5(-2x+4y) 5)(a-b)(x+y)​

Answer 1

а(х+у) = ах+ау

2(3х-1) = 6х-6

-2(2а-4b) = (-4a)+8b

-5(-2x+4y) = 10x-20y

(a-b)(x+y) = ax+ay-bx-by

Answer 2

Let's simplify each of the given expressions:

1. a(x+y) This expression can be simplified by applying the distributive property of multiplication over addition: a(x+y) = ax + ay

2. 2(3x-1) Using the distributive property again: 2(3x-1) = 2 * 3x - 2 * 1 = 6x - 2

3. -2(2a-4b) Using the distributive property: -2(2a-4b) = -2 * 2a + (-2) * (-4b) = -4a + 8b

4. -5(-2x+4y) Using the distributive property: -5(-2x+4y) = -5 * (-2x) + (-5) * 4y = 10x - 20y

5. (a-b)(x+y) This expression can be simplified using the distributive property twice: (a-b)(x+y) = a(x+y) - b(x+y) = ax + ay - bx - by

So, the simplified expressions are:

1. ax + ay
2. 6x - 2
3. -4a + 8b
4. 10x - 20y
5. ax + ay - bx - by