Explanation

For circular arrangement we use formula = (n - 1)!

Where n = number of people

Here n = 5 friends

So, (5 - 1)! = 4!

4! = 4 _ 3 _ 2 * 1 = 24

Total different circular arrangements = 24

Last verified on 12-07-2026

Explanation

(5a + 6b - 2c) - (4a + 3b - c)  

Remove brackets. Remember to change signs:  

= 5a + 6b - 2c - 4a - 3b + c  

Combine like terms:  

= (5a - 4a) + (6b - 3b) + (-2c + c)  

= a + 3b - c

Last verified on 10-07-2026

Explanation

2³ = 2 × 2 × 2 = 8  

3³ = 3 × 3 × 3 = 27  

5³ = 5 × 5 × 5 = 125  

Now,  

2³ + 3³ - 5³ = 8 + 27 - 125  

= 35 - 125  

= -90

Last verified on 10-07-2026

Explanation

The set S = {x, y, z} has 3 elements.

The elements are x, y, and z.

Last verified on 09-07-2026

Explanation

Explanation

Expression: t² + 3x + 3  

Constant = a number with no variable attached to it.  

Check each term:  

• t² → has variable t  
• 3x → has variable x  
• 3 → no variable  

So the constant term is 3.

Last verified on 25-06-2026

Explanation

(9)² - (8)² = ?

Method 1: Direct  

9² = 81, 8² = 64  

81 - 64 = 17

Method 2: Formula a² - b² = (a - b)(a + b)  

(9 - 8)(9 + 8) = 1 × 17 = 17

Last verified on 16-06-2026

Explanation

(4x + 2)(2x) means 2x multiplies both 4x and 2  

2x × 4x = 8x² and 2x × 2 = 4x  

Add them = 8x² + 4x

Last verified on 16-06-2026

Explanation

Factorize x² + x - 2  

We need 2 numbers that:  

1. Multiply to -2 (last term)  

2. Add to +1 (middle term coefficient)  

Those numbers are +2 and -1, because 2 × (-1) = -2 and 2 + (-1) = 1  

So split middle term: x² + 2x - 1x - 2  

Group: x(x + 2) - 1(x + 2)  

Take common: (x + 2)(x - 1)

Last verified on 16-06-2026

Explanation

Area of square = side × side  

Given: length of a square = side = 4 cm  

So: Area = 4 cm × 4 cm = 16 cm²

Last verified on 25-06-2026