What would be equivalent to (-7 x +8x + 19 y) - (6 y + 8 - 20 x - 16 y)

29 y + 21 x - 8

Step-by-step explanation:

Simplify the following:

-7 x + 8 x + 19 y - (6 y + 8 - 20 x - 16 y)

Grouping like terms, 6 y + 8 - 20 x - 16 y = (6 y - 16 y) - 20 x + 8:

-7 x + 8 x + 19 y - ((6 y - 16 y) - 20 x + 8)

6 y - 16 y = -10 y:

-7 x + 8 x + 19 y - (-10 y - 20 x + 8)

Factor 2 out of -10 y - 20 x + 8:

-7 x + 8 x + 19 y - 2 (-5 y - 10 x + 4)

Grouping like terms, -7 x + 8 x + 19 y - 2 (-5 y - 10 x + 4) = 19 y - 2 (4 - 10 x - 5 y) + (8 x - 7 x):

19 y - 2 (4 - 10 x - 5 y) + (8 x - 7 x)

8 x - 7 x = x:

19 y - 2 (4 - 10 x - 5 y) + x

-2 (4 - 10 x - 5 y) = -8 + 20 x + 10 y:

19 y + -8 + 20 x + 10 y + x

Grouping like terms, 19 y - 8 + 20 x + 10 y + x = (19 y + 10 y) + (20 x + x) - 8:

(19 y + 10 y) + (20 x + x) - 8

19 y + 10 y = 29 y:

29 y + (20 x + x) - 8

20 x + x = 21 x:

 29 y + 21 x - 8

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form