Algebra Basic Formulas with Proof – Handwritten Notes

Comprehensive handwritten notes on Algebra square & cube formulas with proofs. Perfect for beginners & competitive exams. English + Hindi.

10 Questions
20 Minutes
Created by
Last updated August 2026
English + Hindi
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1 tests•10 total questions

Algebra

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What you'll master

Derive (a+b)² and (a-b)² step-by-step with proofs
Apply square identities like 4ab and 2(a²+b²) quickly
Prove and use (a+b)³ and (a-b)³ expansion formulas
Solve a³+b³ and a³-b³ factorization problems
Bilingual (English+Hindi) recall of all algebra core formulas
Speed up SSC, Railway, school-level algebra calculations

Requirements

  • Know basic arithmetic operations (+, -, ×, ÷) and integers
  • Understand variables and simple expressions (e.g., 2x + 3 = 7)
  • Device (phone/laptop) with PDF reader to view notes
  • Familiarity with Hindi or English for bilingual explanations

Description

Algebra Basic Formulas with Proof – Handwritten Notes (English + Hindi)

Master the foundational formulas of Algebra with these clear, step-by-step handwritten notes. Designed specifically for Indian students preparing for SSC, Railway, and School Level exams, this 3-page PDF breaks down complex derivations into simple, easy-to-understand bilingual explanations (English + Hindi).

📚 What's Covered:

✅ Square Formulas (with Full Proofs)

  • (a+b)² = a² + 2ab + b² – Detailed derivation and geometric interpretation

  • (a-b)² = a² - 2ab + b² – Complete step-by-step proof

  • 4ab = (a+b)² - (a-b)² – Derivation with practical application

  • 2(a²+b²) = (a+b)² + (a-b)² – Proof and shortcut tricks

  • a²+b² = (a+b)² - 2ab – Derivation for quick calculations

  • ab = ((a+b)/2)² - ((a-b)/2)² – Formula with proof

✅ Cube Formulas (with Full Proofs)

  • (a+b)³ – Complete expansion with derivation

  • (a-b)³ – Step-by-step proof

  • a³+b³ – Formula derivation and factoring method

  • a³-b³ – Complete proof with solved examples

🎯 Who is this for?

This PDF is extremely helpful for:

  • School Students: Class 8, 9, and 10 – CBSE, ICSE, and State Boards

  • SSC Aspirants: CGL, CHSL, MTS, GD, and CPO exams

  • Railway Candidates: RRB NTPC, Group D, and ALP exams

  • Other Competitive Exams: WBCS, Banking, and all state-level exams

⭐ Key Highlights:

  • 📝 Clean Handwritten Notes – Easy to read and understand

  • 🌐 Bilingual Format – English + Hindi for better conceptual clarity

  • 🔍 Step-by-Step Proofs – No shortcuts skipped, complete derivations

  • ⚡ Exam-Focused – Formulas most frequently asked in SSC & Railway exams

  • 📄 Concise 3-Page PDF – Quick revision before exams

  • 💡 Beginner Friendly – Perfect for students starting from scratch

Price: ₹19 only – Get instant access to these high-quality handwritten notes and strengthen your Algebra basics for competitive exams!

Meet your instructor

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Bijay Pramanik
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