ALGEBRIC EXPRESSIONS AND

IDENTITY

WHAT ARE ALGEBRIC EXPRESSIONS

• A NUMBER OR A COMBINATION OF NUMBERS CONNECTED BY THE SYMBOLS OF OPERATION +,-,×,? IS CALLED AN ALGEBRIC EXPRESSION.

• EQUATIONS ARE FORMED FROM VARIABLES AND CONSTANT.

TERMS AND FACTORS• VARIOUS PARTS OF AN ALGEBRIC EXPRESSIONS

WHICH ARE SEPERATED BY THE SIGNS + OR – ARE CALLED THE “TERMS” OF THE EXPRESSIONS.

• EACH TERM IS AN ALGEBRIC EXPRESSION IS A PRODUCT OF ONE OR MORE NUMBER KNOW THE “FACTORS” OF THE TERM.

• FOR EXAMPLE FACTORS OF 24 :

LIKE AND UNLIKE TERMS

• THE TERMS HAVING THE SAME LITERAL FACTORS ARE CALLED LIKE TERMS, OTHERISE THEY ARE CALLED UNLIKE TERMS.

COEFFICIENT

• IN A TERM OF AN ALGEBRIC EXPRESSION ANY OF THE FACTORS WITH THE SIGN OF THE TERM IS CALLED THE COEFFICIENT OF THE PRODUCT OF OTHER FACTORS.

MONOMIALS, BINOMIALS,TRINOMIALS AND POLYNOMIALS

• EXPRESSION THAT CONTAINS ONLY ONE TERM IS CALLED MONOMIAL.

• EXPRESSION THAT CONTAINS TWO TERMS IS CALLED BINOMIAL.

• EXPRESSION CONTAINING THREE TERMS IS CALLED TRINOMIALS.

• EXPRESSION CONTAINING ONE OR MORE TERMS CALL POLYNOMIALS.

ADDITION OF ALGEBRIC EXPRESSION

SUBTRACTION OF ALGEBRIC EXPRESSION

MULTIPLICATION OF TWO MONOMIALS

MULTIPLICATION OF A MONOMIAL AND A BINOMIAL

MULTIPLICATION OF A MONOMIAL AND A TRINOMIAL

MULTIPLICATION OF TWO BINOMIALS

MULTIPLICATION OF A BINOMIAL BY A TRINOMIAL

WHAT IS AN IDENTITY

• AN IDENTITY IS AN EQUALITY WHICH IS TRUE FOR ALL VALUES OF THE VARIABLES

STANDARD IDENTITIES

IDENTITY 1

IDENTITY 2

IDENTITY 3

THANK YOU