Question

1)12x+5(15x−7y)+(−40x+18y)2)x+2(0.5+3)3)−5(4y−2x−7y−4)​ ​

Answer 1

Ответ

1. 47x-17y

2. x+7

3. 15y+10x+20

Answer 2

Ответ:

Пошаговое объяснение:

1)12x+5(15x−7y)+(−40x+18y)=12x+75x-35y-40x+18y=-47x-17y

2)x+2(0.5+3)=x+1+6=x+7

3)−5(4y−2x−7y−4)=-20y+10x+35y+20=15y+10x+20=5(3y+2x+4)

Answer 3

To simplify the given expressions, let's solve them step by step:

1. 12x + 5(15x - 7y) + (-40x + 18y)

First, distribute the coefficients within the parentheses:

= 12x + 5 * 15x - 5 * 7y + (-40x + 18y)

Simplify the multiplication:

= 12x + 75x - 35y - 40x + 18y

Combine like terms:

= (12x + 75x - 40x) + (-35y + 18y)

= 47x - 17y

Therefore, the simplified expression is 47x - 17y.

2. x + 2(0.5 + 3)3

Within the parentheses, perform the addition:

= x + 2 * 3.5 * 3

Multiply the numbers:

= x + 21

Thus, the simplified expression is x + 21.

3. -5(4y - 2x - 7y - 4)

Distribute the coefficient:

= -5 * 4y + (-5) * (-2x) + (-5) * (-7y) + (-5) * (-4)

Simplify the multiplication:

= -20y + 10x + 35y + 20

Combine like terms:

= (-20y + 35y) + 10x + 20

= 15y + 10x + 20

The simplified expression is 15y + 10x + 20.