Explanation

a³ + b³ = (a + b)(a² - ab + b²) = (a + b)³ - 3ab(a + b)

Explanation

Let's denote the number as x.

Given:

(1/3)x = 3(1/x)

Multiplying both sides by 3x:

x^2 = 9

Solving for x:

x = ±√9

x = ±3

Explanation

Given:

36xy = 18xyz

Divide both sides by 18xy:

2 = z

Explanation

Fixed means مضبوطی سے منسلک یا محفوظ

Loose means مضبوطی سے طے شدہ یا مفت نہیں

Explanation

The numbers on a standard mobile phone keypad dial are:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Let's calculate the sum:

0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45

Explanation

Active voice: "Did you catch the fly?" (past simple, interrogative)

Passive voice: Start with "Was" (since "fly" is singular and past tense is used)

"catch" → "caught" (past participle)

Subject "you" comes after "by"

Correct passive voice:

Was the fly caught by you?

Explanation

The backbone of DNA consists of alternating deoxyribose sugar and phosphate groups, linked by phosphodiester bonds.

Key Information:

Sugar-Phosphate Backbone:

• Provides structural stability to the DNA double helix.
• Directionality: 5’ (phosphate) to 3’ (sugar) orientation.

Nitrogenous Bases (A, T, C, G):

• Attached to the sugar but not part of the backbone.
• Form hydrogen bonds to create base pairs (A-T, C-G).

Explanation

Exponential notation (scientific notation) is used to express very small (e.g., 0.0000001) or very large (e.g., 1000000000) quantities compactly by representing numbers as powers of 10.

Key Information:

Format: a × 10^n, where 1 ≤ a < 10 and n is an integer.

Used for very large or very small numbers.

Examples:

• Large number: 6.022 × 10^23 (Avogadro's number)
• Small number: 1.6 × 10^-19 (Charge of an electron)

Explanation

Given sentence is in Present Perfect tense and It is in active Voice.

Rule :
Subject + (has / have) + been +V3 + Optional Agents.

Explanation

Millennium means ہزار برس