Question

1）8a+5b-13a-b2）y-(17-y)+(-y+30)3）-6(4+a)+8(a-6)

Answer 1

1) (8-13)a + (5-1)b = -5a + 4b

2) y - 17 + y - y + 30 = y + 13

3) -24 - 6a + 8a - 48 = 2a - 72

Answer 2

Let's simplify the given expressions:

1. 8a + 5b - 13a - b

Combine like terms (terms with the same variables and exponents): = (8a - 13a) + (5b - b)

Simplify the coefficients: = -5a + 4b

2. y - (17 - y) + (-y + 30)

Remove the parentheses and combine like terms: = y - 17 + y + (-y) + 30

Simplify the coefficients: = y + y - y + 30 - 17

Combine like terms again: = y + y - y + 13

Simplify further: = y + 13

3. -6(4 + a) + 8(a - 6)

Apply the distributive property: = -6 * 4 - 6 * a + 8 * a - 8 * 6

Simplify the coefficients: = -24 - 6a + 8a - 48

Combine like terms: = (-6a + 8a) - 24 - 48

Simplify the coefficients again: = 2a - 72

So, the simplified expressions are:

1. -5a + 4b
2. y + 13
3. 2a - 72