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Algebraic expressions
Algebraic expressions Constants and Variables
 Algebraic expressions are
formed by using variables
constants and operations of
 Addition
 Subtraction
 Multiplications
 Division
 A collection of letters are
called Variables (eg: x,y,z )
 A collection of real numbers
are called Constants
(eg: 3,5,2)
TYPES OF ALGEBRAIC EXPRESSIONS
Polynomial
Monomial
7x
Binomial
3x – 2y
Trinomial
p+q+r
Value of algebraic expressions
 If X = 3 and Y= 2 then 2X + 3Y + 5,find the value
sol,
= 2(3)+3(2)+5
= 6+6+5
= 12+5
= 17
IDENTITIES
Definition
Special Identities
 An Identities is an equality which is true for all values of
variables in the equality
 Identity 1: (a+b)² =a²+ 2ab + b²
 Identity 2: (a-b)² =a²- 2ab + b²
 Identity 3: a² - b² =(a+b)(a-b)
• (x+7)²= ?
• a = x
• b = 7
• = x² + 2(x)(7)+7 ²
• = x² + 14x+49
Identity 1
• (x-7)² =?
• a = x
• b = 7
• = x² - 2(x)(7)+7 ²
• = x²-14x+49
Identity 2
• x² - 6² =?
• a² = x² => a = x
• b² = 6² => b = 6
• = (x + 6)(x- 6)
Identity 3
Examples For Identities
EVALUATION
Add the expressions
1. L² - M²,2 L² - M²
Subtract the expressions
1. bc – ca, ca- ab
Write the following in expanded form
1. (2x-3y)²
Algebraic expressions

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Algebraic expressions

  • 1.
  • 2.
  • 3. Algebraic expressions Algebraic expressions Constants and Variables  Algebraic expressions are formed by using variables constants and operations of  Addition  Subtraction  Multiplications  Division  A collection of letters are called Variables (eg: x,y,z )  A collection of real numbers are called Constants (eg: 3,5,2)
  • 4. TYPES OF ALGEBRAIC EXPRESSIONS Polynomial Monomial 7x Binomial 3x – 2y Trinomial p+q+r
  • 5. Value of algebraic expressions  If X = 3 and Y= 2 then 2X + 3Y + 5,find the value sol, = 2(3)+3(2)+5 = 6+6+5 = 12+5 = 17
  • 6. IDENTITIES Definition Special Identities  An Identities is an equality which is true for all values of variables in the equality  Identity 1: (a+b)² =a²+ 2ab + b²  Identity 2: (a-b)² =a²- 2ab + b²  Identity 3: a² - b² =(a+b)(a-b)
  • 7. • (x+7)²= ? • a = x • b = 7 • = x² + 2(x)(7)+7 ² • = x² + 14x+49 Identity 1 • (x-7)² =? • a = x • b = 7 • = x² - 2(x)(7)+7 ² • = x²-14x+49 Identity 2 • x² - 6² =? • a² = x² => a = x • b² = 6² => b = 6 • = (x + 6)(x- 6) Identity 3 Examples For Identities
  • 8. EVALUATION Add the expressions 1. L² - M²,2 L² - M² Subtract the expressions 1. bc – ca, ca- ab Write the following in expanded form 1. (2x-3y)²