Question

1. (6x – 7) · 4 – 2 · (12x – 5). 2. Розкрити дужки –3 · (x – 9) = … 3.Розкрити дужки 8 · (–x – 4) = …

Answer 1

Ответ:

1) -18

2) -3x+27

3) -8x-32

Пошаговое объяснение:

1) (6x-7)4-2(12x-5) = 24x-28-24x+10 = -18

2) -3(x-9) = -3x+27

3) 8(-x-4) = -8x-32

Answer 2

Ответ:

-18

-3х + 27

-8х - 32

Пошаговое объяснение:

1. (6x – 7) · 4 – 2 · (12x – 5) = 24х - 28 - 24х + 10 = -18

2. –3 · (x – 9) = -3х + 27

3. 8 · (–x – 4) = -8х - 32

Answer 3

1. To simplify the expression (6x - 7) · 4 - 2 · (12x - 5), we can follow the order of operations (also known as PEMDAS/BODMAS) which states that we should simplify expressions within parentheses/brackets first, then perform any necessary multiplication or division, and finally addition or subtraction.

Let's simplify the expression step by step:

(6x - 7) · 4 - 2 · (12x - 5) = (24x - 28) - 2 · (12x - 5) [Multiplying (6x - 7) by 4] = 24x - 28 - 2(12x - 5) [Removing the parentheses] = 24x - 28 - 24x + 10 [Multiplying -2 with (12x - 5)] = (24x - 24x) + (10 - 28) [Rearranging terms] = 0x - 18 [Simplifying constants] = -18 [The final simplified expression]

Therefore, (6x - 7) · 4 - 2 · (12x - 5) simplifies to -18.

2. To expand the expression -3 · (x - 9), we can use the distributive property, which states that multiplying a number by a sum is the same as multiplying the number by each term in the sum and then adding the results.

Let's expand the expression step by step:

-3 · (x - 9) = -3 · x + (-3) · (-9) [Multiplying -3 with each term inside the parentheses] = -3x + 27 [Simplifying the multiplications]

Therefore, -3 · (x - 9) expands to -3x + 27.

3. To expand the expression 8 · (-x - 4), we can once again use the distributive property.

Let's expand the expression step by step:

8 · (-x - 4) = 8 · (-x) + 8 · (-4) [Multiplying 8 with each term inside the parentheses] = -8x - 32 [Simplifying the multiplications]

Therefore, 8 · (-x - 4) expands to -8x - 32.