Explanation

Explanation

Given:

x + (1/x) = 8

Cube both sides:

(x + (1/x))³ = 8³

Expand the left side:

x³ + 3x²(1/x) + 3x(1/x)² + (1/x)³ = 512

Simplify:

x³ + 3x + 3(1/x) + (1/x)³ = 512

Rearrange:

x³ + (1/x)³ + 3(x + (1/x)) = 512

Substitute x + (1/x) = 8:

x³ + (1/x)³ + 3(8) = 512

x³ + (1/x)³ + 24 = 512

Subtract 24 from both sides:

x³ + (1/x)³ = 488

Explanation

Explanation

Explanation

Explanation

Explanation

"Emotional compatibility" refers to the ability to connect and understand someone's emotions.

It is essential for maintaining healthy relationships.

Compatibility means ہم آہنگی، دوستی یا قربت

Explanation

اہل زبان کی بول چال کو مدنظر رکھتے ہوئے درست روزمرہ کا یہ جملا درست ہے: وہ آئے دن اسکول سے غیر حاضر رہتا ہے

Explanation

The cube roots of unity are 1, ω, and ω², where ω = -1 + √3i / 2 and ω² = -1 - √3i / 2.
Their product is 1 × ω × ω² = 1.

Explanation

To find the number of subsets of a set A:

Number of subsets = 2^n

where n is the number of elements in the set.

In this case:

A = {a, e, i, o, u}

n = 5

Number of subsets = 2^5 = 32