Algebraic Expressions and Identities

This topic begins by explaining algebraic expressions on the number line. It explains factors, coefficients and the different types of terms, namely, monomial, binomial, polynomial, like and unlike.

In this topic, we learn that if two algebraic expressions are added or subtracted, we can only add or subtract like terms. The sum of two or more like terms is a like term, with a numerical coefficient equal to the sum of the numerical coefficient of all the like terms.

This topic teaches us that multiplying two binomials is the numerical coefficient of the terms and is equal to the product of the numerical coefficient of both the terms and the power of each algebraic factor is equal to the sum of the exponents of that algebraic factor.

This topic explains that if we multiply any two polynomials, we multiply all the terms or monomials of one polynomial with all the terms of another polynomial. If we multiply binomials, every term in one binomial multiplied every term in the other binomial.

This topic explains that when we multiply any two polynomials, we multiply monomials of one polynomial with all the terms of another polynomial. Here, we have to multiply each of the three terms in the trinomial by each of the two terms in the binomial.

This topic introduces us to standard identities. It is an equality relation like A is equal to B, such that A and B contain some variables and produce the same value as each other regardless of what values are substituted for the variables.

This topic teaches us the application of different algebraic identities with the aid of solved examples. These identities will make our calculations easier and faster.