Explanation

Explanation

x: -3 < x < 6

This represents all numbers greater than -3 and less than 6.

Explanation

Explanation

Explanation

The given expression is:

a³ + 3ab(a + b) + b³

Factor the expression:

(a + b)(a² - ab + b²) + 3ab(a + b)

Combine like terms:

(a + b)(a² - ab + b² + 3ab)

Simplify:

(a + b)(a² + 2ab + b²)

Recognize the perfect cube:

(a + b)³

Explanation

To solve this problem, find the rate at which the men weave cloth:

15 men weave 120 meters in a day

Rate = 120 meters / 15 men = 8 meters per man per day

Now, find the total cloth woven by 35 men:

35 men × 8 meters per man per day = 280 meters

Explanation

Let the weak not be insulted.

In passive voice, the object ("the weak") comes first.

"Let" is used to form passive commands or requests.

Explanation

Explanation

In passive voice, the object ("us") becomes the subject ("we"), and "cheated" remains in the past participle form.

"Will we have been cheated by them?" correctly follows the passive voice structure:

Will + subject + have been + past participle (cheated) + by + agent.

Explanation

Supplementary angles add up to 180°, so set up an equation:

(3x + 5) + (9x - 5) = 180°

Combine like terms:

12x = 180°

Divide both sides by 12:

x = 15°