# How many identities are there in algebraic expressions?

Space and AstronomyThere are **four** basic algebraic identities in maths.

## What are the 4 algebraic identities?

The standard algebraic identities are:

(x + a)(x + b) = x^{2} + (a + b) x + ab. (a + b + c)^{2} = a^{2} + b^{2} + c^{2} + 2ab + 2bc + 2ca. (a + b)^{3} = a^{3} + b^{3} + 3ab (a + b)

## What are the 10 algebraic identities?

**Algebraic Identities for Class 10**

- ( a + b)
^{2}= a^{2}+ 2ab + b^{2} - ( a − b)
^{2}= a^{2}− 2ab + b^{2} - ( a + b)(a – b) = a
^{2}– b^{2} - ( x + a)(x + b) = x
^{2}+ (a + b)x + ab. - ( x + a)(x – b) = x
^{2}+ (a – b)x – ab. - ( x – a)(x + b) = x
^{2}+ (b – a)x – ab. - ( x – a)(x – b) = x
^{2}– (a + b)x + ab. - ( a + b)
^{3}= a^{3}+ b^{3}+ 3ab(a + b)

## What are all the algebraic identities?

Factoring Algebra Identities

**Identity-I: a ^{2} – b^{2} = (a + b) (a – b)** Identity-II: a

^{3}– b

^{3}= (a – b) (a

^{2}+ ab + b

^{2}) Identity-III: a

^{3}+ b

^{3}= (a + b) (a

^{2}– ab + b

^{2}) Identity-IV: a

^{4}– b

^{4}= (a

^{2}– b

^{2}) (a

^{2}+ b

^{2})

## What are the 9 identities?

**Identities I to IV**

- Identity I – (a + b)
^{2}= a^{2}+ b^{2}+ 2ab. - Identity II – (a − b)
^{2}= a^{2}+ b^{2}− 2ab. - Identity III – a
^{2}− b^{2}= (a − b) (a + b) - Identity IV – (x + a) (x + b) = x
^{2}+ (a + b) x + ab.

## What is algebraic identity?

An algebraic identity is **an equality that holds for any values of its variables**. For example, the identity ( x + y ) 2 = x 2 + 2 x y + y 2 (x+y)^2 = x^2 + 2xy + y^2 (x+y)2=x2+2xy+y2 holds for all values of x and y.

## How many identities are there in polynomials?

Remember these **four basic identities**.

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