Explanation

x² - xy + y²

= (-2)² - (-2)(2) + (2)²

= 4 + 4 + 4

= 12

Explanation

Given A = p + prt, we need to solve for t.

Step 1: Subtract p from both sides

A - p = prt

Step 2: Divide both sides by pr

(A - p) / pr = t

The answer is A-p/pr.

Explanation

The product of two rational numbers is always rational because the product of two fractions (or integers) is another fraction (or integer).

Rational numbers are closed under multiplication, meaning multiplying two rationals results in another rational number.

Explanation

The Election Commission of Pakistan (ECP) is a constitutional body that organizes and supervises elections in the country.

Its main role is to ensure transparency, fairness, and impartiality in the electoral process.

Explanation

Let's calculate the amount Ali will have after one year with compound interest:

Principal (P) = Rs. 20,000

Rate (R) = 5% = 0.05

Time (n) = 1 year

Amount = P × (1 + R)^n

= 20,000 × (1 + 0.05)^1

= 20,000 × 1.05

= 21,000

Explanation

Given:

A = {2, 4, 6, 10}

The symbol ∈ means "is an element of".

Since 4 is an element of set A, the correct representation is:

4 ∈ A

Explanation

Let's solve the expression 3(a ÷ b)^c with the given values: a = 36, b = 12, and c = 2.

First, calculate a ÷ b = 36 ÷ 12 = 3.

Then, raise it to the power of c: 3^2 = 9.

Finally, multiply by 3: 3 * 9 = 27.

Explanation

The volume of a cube is given by:

V = side³

= 5³

= 5 × 5 × 5

= 125 cm³

Explanation

To divide fractions, we invert the second fraction and multiply:

1/5 ÷ 1/25 = 1/5 × 25/1

= 25/5

= 5

Explanation

To solve (3/4)³:

(3/4)³ = (3/4) × (3/4) × (3/4)

= (3 × 3 × 3) / (4 × 4 × 4)

= 27 / 64