## Math’s Formula pdf

Math’s Formula pdf

1- Work = force × distance
कार्य = बल × दूरी

2- Energy = force × distance
ऊर्जा = बल × दूरी

3- Speed = distance / time
गति = दूरी / समय

4- Velocity= displacement / time
वेग = विस्थापन / समय

5- Electric field = electrical force/charge
विद्युत क्षेत्र= वैद्युत बल/आवेश

6- Force = force/area
प्रतिबल=बल/क्षेत्रफल

7- Volume = length × width × height
आयतन = लंबाई × चौड़ाई × ऊंचाई

8- Mass density = mass/volume
द्रव्यमान घनत्व =द्रव्यमान/आयतन

9- Acceleration =velocity / time
त्वरण = वेग / समय

10- Power = work / time
शक्ति = कार्य / समय

11- Pressure = force / area
दाब =बल/क्षेत्रफल

11- Momentum = mass × velocity
संवेग = द्रव्यमान × वेग

13- Area (A) = Length × Width
क्षेत्रफल ( A ) = लम्बाई × चौड़ाई

14- Force (F) = Mass × Acceleration
बल ( F ) = द्रव्यमान × त्वरण

15- Pressure Energy = Pressure × Volume
दाब ऊर्जा = दाब × आयतन

16- Impulse = force × time
आवेग = बल × समय

17- Linear momentum = mass × velocity
रैखिक संवेग = द्रव्यमान × वेग

18- Kinetic energy = 1/2 mv²
गतिज ऊर्जा = 1/2 mv²

19- Mechanical energy = kinetic energy + potential energy
यांत्रिक ऊर्जा = गतिज ऊर्जा + स्थितिज ऊर्जा

20- Angular momentum = Inertial × Angular velocity
कोणीय संवेग = जड़त्वाघूर्ण × कोणीय वेग

Algebra Formula

Algebra includes both numbers and letters. Numbers are fixed, i.e. their value is known. Letters or alphabets are used to represent the unknown quantities in the algebra formula. Now, a combination of numbers, letters, factorials, matrices etc. is used to form an equation or formula. This is essentially the methodology for algebra.

As students study for their exams, there are certain very important algebra formulas and equations that they must learn. These formulas are the cornerstone of basic or elementary algebra. Only learning the formulas is not sufficient. The students must also understand the concept behind the formula and learn to apply them correctly.

Here, we will provide a list of all the important algebra formulas. The comprehensive list will allow the students to have a quick look before exams or refer to whenever they wish. Remember, only rote learning is not enough. You must also know how to effectively apply these formulas to a problem.

a² – b² = (a-b)(a+b)
(a+b)² = a² + 2ab + b²
(a-b)² = a² – 2ab + b²
a² + b² = (a-b)² +2ab
(a+b+c)² = a²+b²+c²+2ab+2ac+2bc
(a-b-c)² = a²+b²+c²-2ab-2ac+2bc
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
“n” is a natural number, an – bn = (a-b) (an-1 + an-2b +….bn-2a + bn-1)
“n” is a even number, an + bn = (a+b) (an-1 – an-2b +….+ bn-2a – bn-1)
“n” is an odd number an + bn = (a-b) (an-1 – an-2b +…. – bn-2a + bn-1)
(am)(an) = am+n (ab)m = amn

All Math’s Formula Question paper in hindi

Solved Examples
Q: Find the value of 17² – 4²

Ans: Now these are simple numbers, so we can calculate the answer. But the correct method is to apply the formula,

a² – b² = (a-b) (a+b)

17² – 4² = (17-4) (17+4) = 13 × 21 = 273

Math’s Formula pdf