Bank Exam Speed Maths Master Series Page 17 | Algebra Basics Tricks & Fast Calculation Methods

 

 Bank Exam Speed Maths Master Series – Page 17

Algebra Basics Tricks & Fast Calculation Methods

Shaktimatha Learning – Speed Maths Academy
Learn Algebra shortcut tricks, aptitude formulas, and fast calculation methods for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

 Importance of Algebra in Competitive Exams

Algebra is one of the most important foundation topics in:

• Bank Exams
• SSC
• Railway Exams
• Insurance Exams
• Quantitative Aptitude

This topic is highly useful in:

• Simplification
• Equation solving
• Quadratic equations
• Data Interpretation
• Advanced arithmetic

🎯 What is Algebra?

Algebra uses:

• Variables
• Numbers
• Symbols
• Mathematical operations

Example:

x + 5 = 10

 Basic Algebraic Expressions

Expression	Meaning
x + y	Addition
x − y	Subtraction
xy	Multiplication
x/y	Division
x²	Square
x³	Cube

 Important Algebra Formula

0

 Trick 1: Square Expansion Shortcut

Example:

(5 + 3)²

Using formula:

25 + 30 + 9

✅ Answer = 64

 Difference of Squares Formula

1

Trick 2: Fast Multiplication Using Formula

Example:

99 × 101

Using:

2

100² − 1²

10000 − 1

✅ Answer = 9999

 Cube Formula

3

 Trick 3: Cube Expansion Shortcut

Example:

(2 + 1)³

8 + 12 + 6 + 1

✅ Answer = 27

 Quadratic Equation Formula

4

 Trick 4: Factorization Method

Example:

x² − 5x + 6

Find two numbers:

• Product = 6
• Sum = 5

Numbers: 2 and 3

So:

(x−2)(x−3)

✅ Factors Found

 Trick 5: Identity Shortcut

Formula	Shortcut
(a+b)²	a² + 2ab + b²
(a−b)²	a² − 2ab + b²
a²−b²	(a+b)(a−b)
(a+b)³	Cube expansion

 Trick 6: Linear Equation Shortcut

Example:

2x + 6 = 20

2x = 14

x = 7

✅ Answer = 7

 Important Observation Trick

Memorizing algebraic identities saves huge calculation time in:

• Simplification
• Approximation
• Equation solving

 Important Algebra Shortcuts

Topic	Shortcut
Square Formula	(a+b)²
Difference Formula	a²−b²
Cube Formula	(a+b)³
Quadratic Formula	Standard formula
Factorization	Product & Sum method

 Practice Questions

1. Find (4 + 2)²
2. Solve: x² − 7x + 12
3. Find 98 × 102 using identity
4. Solve: 3x + 9 = 24
5. Find value of (3 + 1)³

✅ Answers

1. 36
2. (x−3)(x−4)
3. 9996
4. x = 5
5. 64

🎯 Preparation Strategy:
Practice algebraic identities, factorization methods, equation solving, and square & cube formulas daily to improve simplification speed and mental calculation ability.

“Strong Algebra Basics Make Advanced Aptitude Questions Easy & Fast.”

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