how to put identity on an algebraic expressions?(chapter name - Factorisation)
Answers
Step-by-step explanation:
when we factorise an algebraic expression, we write it as the product of irreducible factors. These factors may be numbers, algebraic variables or algebraic expressions. Expressions like 5xy, 7x2y, 2x(y+3), 11(y+1) (x+2) are already in an irreducible factor form.
On the other hand in expressions like 6x+8, 5x+5y, x2+7x, x2+3x+6 we need to determine factors, for which we develop systematic methods to factorise these expressions. In the space below we will reduce various forms of algebraic expressions using irreducible factors.
Example 1: Factorise 21a2b + 27ab2
Solution: We have: 21a2b = 7*3*a*a*b
27ab2 = 3*3*3*a*b*b
The two terms have 3, a and b as common factors.
Therefore, 21a2b + 27ab2 = (3*a*b*7*a) + (3*a*b*3*b*3)
= 3*a*b*[(7*a) + (9*b)] (combining the terms)
= 3ab*(7a + 9b)
= 3ab (7a + 9b)
Basics of Algebra
Expressions: Expressions are formed from variables and constants. The expressions 3y-7 is formed from the variable y and constants 3 and 7. The expression 5xy + 9 is formed from variables x and y and constant 5 and 9. You can form as many expressions as you wish using variables and constants.
Terms, factors and Coefficients: An algebraic expression is a combination of terms, factors and coefficients. Hence, in the expression, 3x+7; 3x and 7 are terms; 3, x and 7 are factors and 3 and 7 are numeric coefficients.
Monomials, binomials and Polynomials Expression that contain only one term is called a monomial, Expression that contains two terms is called a binomial. Therefore, an expression containing three terms is a trinomial and so on.