# 1500+ Maths formulas Class 6-12th (Hindi & English Medium) Free Pdf download

Maths formulas Class 6-12th (Hindi & English Medium) Free Pdf download: Maths formulas help the students to solve a complex problem in a jiffy. Memorising Maths formulas are a challenge to the kids of different classes (6, 7, 8, 9, 10, 11, and 12).

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Maths is a conceptual subject, which demands a great hold on all formulas. Learning maths formulas help students apply various tricks and tricks to complex problems. If we look at the chapters like fractions and percentages, they both are interrelated to each other. Similarly, the chapters like percentages and profit and loss, then complex numbers and the concepts of real numbers and exponents, also have connections. It implies that if we know the formulas of one chapter, we can understand the further chapter easily; this is how Maths formulas become significant to learn.

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Contents

## Basic maths formulas pdf

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### Contents

• Number Sets
• Algebra
• Geometry
• Trigonometry
• Matrices and Determinants
• Vectors
• Analytic Geometry
• Differential Calculus
• Integral Calculus
• Differential Equations
• Series
• Probability

### Information about 1500 Math Formulas Books Pdf

Maths formulas PDF enables students to complete the syllabus in a unique do-learn-do pattern of study. These Maths formulas helps students:

• Score better both in class and boards examinations
• Complete the syllabus on time
• Revise thoroughly
• Memorise formulae easily
• Time themselves for the board exams
• Know their strengths and weaknesses in Mathematics formula
• Prepare for all entrance exams like JEE
• Resolve their doubts while solving any problem by taking Vedantu online tuitions

• a2 – b2 = (a – b)(a + b)
• (a+b)2 = a2 + 2ab + b2
• a2 + b2 = (a – b)2 + 2ab
• (a – b)2 = a2 – 2ab + b2
• (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc
• (a – b – c)2 = a2 + b2 + c2 – 2ab – 2ac + 2bc
• (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
• (a – b)3 = a3 – 3a2b + 3ab2 – b3
• a3 – b3 = (a – b)(a2 + ab + b2)
• a3 + b3 = (a + b)(a2 – ab + b2)
• (a + b)3 = a3 + 3a2b + 3ab2 + b3
• (a – b)3 = a3 – 3a2b + 3ab2 – b3
• (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4)
• (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4)

This maths formulas pdf shared by us, UPSC, IAS, RAS, UPPSC, MPPSC, BPSC, SSC CGL, CHSL, CPO, IBPS PO, SBI PO, Railway, RRB NTPC, ASM, Group D, State for the following exams in India Useful for PSC, Sub Inspector, Patwari exam, LDC Exam, Revenue officer and additional exams.

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### Algebra Formulas | Maths Formulas

1. a2−b2=(a+b)(a−b)

2. (a+b)2=a2+2ab+b2

3. a2+b2=(a−b)2+2ab

4. (a−b)2=a2−2ab+b2

5. (a+b+c)2=a2+b2+c2+2ab+2ac+2bc

6. (a−b−c)2=a2+b2+c2−2ab−2ac+2bc

7. (a+b)3=a3+3a2b+3ab2+b3;(a+b)3=a3+b3+3ab(a+b)

8. (a−b)3=a3−3a2b+3ab2−b3

9. a3−b3=(a−b)(a2+ab+b2)

10. a3+b3=(a+b)(a2−ab+b2)

11. (a+b)4=a4+4a3b+6a2b2+4ab3+b4

12. (a−b)4=a4−4a3b+6a2b2−4ab3+b4

13. a4−b4=(a−b)(a+b)(a2+b2)

14. a5−b5=(a−b)(a4+a3b+a2b2+ab3+b4)

15. (x+y+z)2=x2+y2+z2+2xy+2yz+2xz

16. (x+y−z)2=x2+y2+z2+2xy−2yz−2xz

17. (x−y+z)2=x2+y2+z2−2xy−2yz+2xz

18. (x−y−z)2=x2+y2+z2−2xy+2yz−2xz

19. x3+y3+z3−3xyz=(x+y+z)(x2+y2+z2−xy−yz−xz)

20. x2+y2=12[(x+y)2+(x−y)2]

21. (x+a)(x+b)(x+c)=x3+(a+b+c)x2+(ab+bc+ca)x+abc

22. x3+y3=(x+y)(x2−xy+y2)

23. x3−y3=(x−y)(x2+xy+y2)

24. x2+y2+z2−xy−yz−zx=12[(x−y)2+(y−z)2+(z−x)2]

25. if n is a natural number, an−bn=(a−b)(an−1+an−2b+…+bn−2a+bn−1)

26. if n is even n = 2k, an+bn=(a+b)(an−1−an−2b+…+bn−2a−bn−1)

27. if n is odd n = 2k+1, an+bn=(a+b)(an−1−an−2b+…−bn−2a+bn−1)

28. (a+b+c+…)2=a2+b2+c2+…+2(ab+bc+…)

29. (am)(an)(ab)m(am)n=am+n=ambm=amn

30. a0amanama−m=1=am−n=1a−m=1am

### Root Maths Formulas

Square Root :
If x2 = y then we say that square root of y is x and we write √y = x
So, √4 = 2, √9 = 3, √36 = 6

Cube Root:
The cube root of a given number x is the number whose cube is x.
we can say the cube root of x by 3√x

• √xy = √x * √y
• √x/y = √x / √y = √x / √y x √y / √y = √xy / y.

### Fractions Maths Formulas

What is fraction ?
Fraction is name of part of a whole.

Let the fraction number is 1 / 8.

Numerator : Number of parts that you of the top number(1)

Denominator : It is the number of equal part the whole is divided into the bottom number (8).

We hope the Maths Formulas for Class 6 to Class 12, help you. If you have any query regarding Class 6 to Class 12 Maths Formulas, drop a comment below and we will get back to you at the earliest.