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

Explanation

(x - 3)² = (x - 3)(x - 3)  

Use formula: (a - b)² = a² - 2ab + b²  

Here a = x, b = 3  

So: x² - 2(x)(3) + 3² = x² - 6x + 9  

Rearranged: x² + 9 - 6x

Last verified on 16-06-2026

Explanation

Numbers that can be divided by 1 or by themselves only = Prime number

Examples: 2, 3, 5, 7, 11...  

Like 7 ÷ 1 = 7 and 7 ÷ 7 = 1. No other number divides it exactly.

Even numbers can be divided by 2.

Last verified on 25-06-2026

Explanation

{1, 3, 5, 7, 9, 11, ...}  

These are numbers that cannot be divided by 2 without a remainder.  

1÷2 = 0 remainder 1, 3÷2 = 1 remainder 1, 5÷2 = 2 remainder 1...  

Numbers with remainder 1 when divided by 2 are called Odd numbers.  

Even numbers would be {2, 4, 6, 8...}.

Last verified on 25-06-2026

Explanation

To convert a fraction to %, multiply by 100

7/20 × 100 = 7 × 5 = 35%.

Last verified on 16-06-2026

Explanation

(+7) - (-2) = _

Rule: Subtracting a negative number = adding a positive number  

So - (-2) becomes + 2  

Then: 7 + 2 = 9

Last verified on 25-06-2026