What is simplify-2(-3x)(-2y+1)-(-y)(4-5x) ?

The solution to simplify-2(-3x)(-2y+1)-(-y)(4-5x) is -17xy+6x+4y

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simplify-2(-3x)(-2y+1)-(-y)(4-5x)

simplify

- 2 (- 3 x) (- 2 y + 1) - (- y) (4 - 5 x)

- 17 x y + 6 x + 4 y

Solution steps

- 2 (- 3 x) (- 2 y + 1) - (- y) (4 - 5 x)

- 2 (- 3 x) (- 2 y + 1) = 6 x (- 2 y + 1)

(- y) (4 - 5 x) = - y (4 - 5 x)

= 6 x (- 2 y + 1) - (- y (4 - 5 x))

Apply rule:

a - (- b) = a + b

6 x (- 2 y + 1) - (- y (4 - 5 x)) = 6 x (- 2 y + 1) + y (4 - 5 x)

= 6 x (- 2 y + 1) + y (4 - 5 x)

Expand

6 x (- 2 y + 1) : - 12 x y + 6 x

= - 12 x y + 6 x + y (4 - 5 x)

Expand

y (4 - 5 x) : 4 y - 5 x y

= - 12 x y + 6 x + 4 y - 5 x y

Group like terms

= - 12 x y - 5 x y + 6 x + 4 y

Add similar elements:

- 12 x y - 5 x y = - 17 x y

= - 17 x y + 6 x + 4 y

- n - 24 = 5 - n

49 - 42 b + 9 b^{2}

7 x = x + 30

- x^{2} + 4 x - 5 = 0

3 x^{3} - 6 x^{2} - 4 x + 8

What is simplify-2(-3x)(-2y+1)-(-y)(4-5x) ?
The solution to simplify-2(-3x)(-2y+1)-(-y)(4-5x) is -17xy+6x+4y