Question

-3(-5a+4b-3) -(3x-5y+2) 2(x+1) -2(2x+1) 4(-2x+1 -(-5m-6) -2(a-2b+1) -5x-2y-10 (2a-3b-4)•3 (6x-2)+(2x-1)

Answer 1

1) - 3(- 5a + 4b - 3) = 15a - 12b + 9

2) -(3x - 5y + 2) = - 3x + 5y - 2

3) 2(x + 1) = 2x + 2

4) - 2(2x + 1) = - 4x - 2

5) 4(- 2x + 1) = - 8x + 4

6) -(- 5m - 6) = 5m + 6

7) - 2(a - 2b + 1) = - 2a + 4b - 2

8) - 5x - 2y - 10 = - 5x - 2y - 10

9) (2a - 3b - 4)3 = 6a - 9b - 12

10) (6x - 2) + (2x - 1) = 8x - 3

Answer 2

Let's simplify each expression step by step:

1. -3(-5a+4b-3) = 15a - 12b + 9

2. -(3x-5y+2) = -3x + 5y - 2

3. 2(x+1) = 2x + 2

4. -2(2x+1) = -4x - 2

5. 4(-2x+1) = -8x + 4

6. -(-5m-6) = 5m + 6

7. -2(a-2b+1) = -2a + 4b - 2

8. -5x-2y-10 (No further simplification possible)

9. (2a-3b-4) • 3 = 6a - 9b - 12

10. (6x-2)+(2x-1) = 6x - 2 + 2x - 1 = 8x - 3

Now, we combine all the simplified expressions:

(15a - 12b + 9) - (-3x + 5y - 2) + (2x + 2) - (-4x - 2) + (-8x + 4) - (5m + 6) - (-2a + 4b - 2) - (5x + 2y + 10) + (6a - 9b - 12) • 3 + (8x - 3)

Now, perform the operations within the parentheses:

= 15a - 12b + 9 + 3x - 5y + 2 + 2x + 2 + 4x + 2 - 8x + 4 - 5m - 6 + 2a - 4b + 2 - 5x - 2y - 10 + 18a - 27b - 36 + 8x - 3

Now, combine like terms:

= (15a + 2a + 18a) + (-12b - 4b - 27b) + (9 + 2 + 2 + 4 - 6 - 2 - 10 - 36) + (3x + 2x + 4x + 8x) + (-5y - 2y) + (-5m) + (4)

= 35a - 43b - 45 + 17x - 7y - 5m + 4

So, the simplified expression is:

35a - 43b - 5m + 17x - 7y - 41