As we know that algebra is also a part of mathematics like geometry and arithmetic. And in which we read signs, symbols, etc. And to calculate the mathematics of algebra, you have to follow its formula and which we have given below.

As you know these formulas are very important for class 8, class 9, class 10, class 11, class 12 students. That’s why we have gathered some formulas for students who are learning algebra.

Algebra Formula PDF Preview –

Algebra Formula PDF details

 Filename Algebra Formula PDF Type Formula Format PDF Size 346 kb Pages Multiples For Algebra Mathematics

## Algebra Formula Chart

With the help of the algebra formulas chart given below, students can easily solve algebra maths. We have added algebra formulas, square formulas, and cube formulas here in this chart.

### Algebra Formula

• 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
• a4 – b4 = (a – b)(a + b)(a2 + b2)
• (a – b – c)2 = a2 + b2 + c2 – 2ab – 2ac + 2bc
• a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)
• (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
• a3 – b3 = (a – b)(a2 + ab + b2)
• (a – b)3 = a3 – 3a2b + 3ab2 – b3
• (a + b)3 = a3 + 3a2b + 3ab2 + b3
• a3 + b3 = (a + b)(a2 – ab + b2)
• (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4)
• (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4)

### Square Formulas

• (a + b) 2 = a 2 + b 2 + 2ab
• (a − b) 2 = a 2 + b 2 − 2ab
• a 2 − b 2 = (a − b) (a + b)
• (a + b + c) 2 = a 2 + b 2 + c 2 + 2ab + 2bc + 2ca
• (x + a) (x + b) = x 2 + (a + b) x + ab
• (a + (−b) + (−c)) 2 = a 2 + (−b) 2 + (−c) 2 + 2a (−b) + 2 (−b) (−c) + 2a (−c)(a – b – c) 2 = a 2 + b 2 + c 2 − 2ab + 2bc − 2ca

### Cube Formulas

• (a + b) 3 = a 3 + b 3 + 3ab(a + b)
• (a − b) 3 = a 3 – b 3 – 3ab(a – b)
• a 3 − b 3 = (a − b) (a 2 + b 2 + ab)
• a 3 + b 3 = (a + b) (a 2 + b 2 − ab)
• (a + b + c) 3 = a 3 + b 3 + c 3 + 3(a + b)(b + c)(c + a)
• a 3 + b 3 + c 3 − 3abc = (a + b + c) (a 2 + b 2 + c 2 − ab − bc − ac)

## Examples and some solutions

Here the following maths have been solved using the formula of algebra (a – b)2 = a2 – 2ab + b2

• (x-7)2
=(x2 )-2×x×7+(7)2
=x2 -14x+49

One more example by using formula (a+b)(a-b)=a2 -b2

• (2x+3(2x-3)
=(2x)2 -(3)2
4x2 -9

Related files

## FAQs

What is algebra?

The part of mathematics in which numbers, mathematical operations, and symbols are studied is called algebra.

How to memorize algebra formulas easily?

You can easily memorize algebra formulas by following the trick of memorizing algebraic identities. To understand practically, search on youtube tricks of memorizing algebraic identities.

Do algebra formulas differ class-wise?

No, Algebra formulas are the same for every class of students.