Posted on April 23, 2022 (Updated on July 9, 2025)

What are the four identities?

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The four basic algebraic identities are as follows.

  • (a + b)2 = a2 + 2ab + b2
  • (a – b)2 = a2 – 2ab + b2
  • (a + b)(a – b) = a2 – b2
  • (x + a)(x + b) = x2 + x(a + b) + ab.

What are the four identities for Class 8?

The Four Basic Identities in Maths Class 8 have Been Listed Below

Identity I (a+b)2 = a2+2ab+b2
Identity II (a-b)2 = a2- 2ab+b2
Identity III a2-b2= (a+b) (a-b)
Identity IV (x+a) (x+b) = x2+(a+b) x+ab

What are standard identities?

Standard identities are identities that are introduced by multiplying one binomial with another binomial.

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 are identities in algebra?

An identity is an equality that holds true regardless of the values chosen for its variables. They are used in simplifying or rearranging algebra expressions. By definition, the two sides of an identity are interchangeable, so we can replace one with the other at any time.

What is your identity?

Our identity is the way we define ourselves. This includes our values, our beliefs, and our personality. It also encompasses the roles we play in our society and family. Our past memories, our hopes for the future, as well as our hobbies and interests.

What is the identity of AB 3?

(a – b)3 = a3 – b3 – 3ab(a – b).

What is the identity of a 2 B 2?

The standard algebraic identities are:

a2 – b2 = (a + b)(a – b) (x + a)(x + b) = x2 + (a + b) x + ab. (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca. (a + b)3 = a3 + b3 + 3ab (a + b)

What is the identity of a b/c 2?

The (a – b – c)2 formula is one of the important algebraic identities. It is read as a minus b minus c whole square. The (a – b – c)2 formula is expressed as (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca.

What is identity VII?

Identity VII – (a − b)3 = a3 – b3 – 3ab(a – b)

What are the 10 identities?

Frequently Asked Questions on Algebraic Identities

  • Identity 1: (a+b)^2 = a^2 + b^2 + 2ab.
  • Identity 2: (a-b)^2 = a^2 + b^2 – 2ab.
  • Identity 3: a^2 – b^2 = (a+b) (a-b)

How many types of identities are there in maths?

The algebraic identities for class 8 consist of three major identities, which consist of algebraic expressions and is true for identity definition. The algebraic formulas for class 8 are also derived using these identities. These identities and formulas will be used to solve algebraic equations.

What are examples of identities?

Examples of identities include heterosexual, gay, lesbian, bisexual (people who are attracted to people of two genders), pansexual (a term referring to the potential for attractions or love toward people of all gender identities and sexes), asexual (people who either do not feel sexual attraction or do not feel desire …

What is the identity of X A into X B?

question. (x-a)(x-b) is equal to x^2-xb-ax-ab= x^2 -x(b+a) –ab or = x^2 -b(x+a) –ax.

What is the identity of a minus b whole square?

The length of each side of one square is , then its area is equal to ( a − b ) 2 . The length and width of one rectangle are and respectively, then its area is equal to b × ( a − b ) , which can be written as b ( a − b ) simply.

What is a3 minus b3?

Answer: (a3 – b3) = (a – b)(a2 + b2 + ab)

What kind of polynomial is Pqr?

A trinomial can be the sum of three constant or three variables or three multiples of numbers and variables. The polynomial \[pqr\]has exactly one term, i.e., \[pqr\]. Therefore, we can conclude it as a monomial. The correct answer is ‘Monomial’.

What is the product of X A and X B?

x2 + (a – b)x – ab.

Is PQR is a trinomial?

A polynomial ​is a trinomial if it has exactly three non-zero terms. The polynomial pqr has exactly one term, i.e., pqr. Therefore, it is a monomial. Report Error Is there an error in this question or solution?

What kind of polynomial is 5 ABC?

It’s monomial as it has one term.

Which expression is a trinomial?

A trinomial is an algebraic expression that has three non-zero terms. Examples of a trinomial expression: x + y + z is a trinomial in three variables x, y and z. 2a2 + 5a + 7 is a trinomial in one variables a.

What are polynomials with 4 terms?

Polynomials can be classified by the number of terms with nonzero coefficients, so that a one-term polynomial is called a monomial, a two-term polynomial is called a binomial, and a three-term polynomial is called a trinomial. The term “quadrinomial” is occasionally used for a four-term polynomial.

Which of the following is trinomial?

So, a2+b2+c2 is a trinomial.

Which of the following is a monomial?

Monomials include: numbers, whole numbers and variables that are multiplied together, and variables that are multiplied together. Any number, all by itself, is a monomial, like 5 or 2,700. A monomial can also be a variable, like m or b.

What is a degree of zero polynomial?

The degree of zero polynomial is zero.