Algebra Formulas

Algebra Identities

• Difference Of Squares :  a² - b² = (a – b)(a + b)

• Difference Of Cubes  : a³ –  b³ = (a – b)(a² + ab + b²)

• Sum Of Cubes : a³ +  b³ = (a + b)(a² - ab + b²)

Special Algebra Expansions 

• Formula For ( a + b )²  and  ( a - b )²

  ( a + b )² = a² + 2 ab + b²  and  ( a - b )² = a² - 2 ab + b² 

•  Formula For ( a + b )³  and  ( a - b )³

  ( a + b )³ = a³ + 3a²b +3ab²+ b³  and  ( a - b )³ = a³ - 3a²b +3ab²- b³

Roots Of Quadratic Equations 

 

• Formula : ax² + bx + c = 0

 

Laws of Exponents

• (a^m)(aⁿ) = a^m+n
• (ab)^m = a^mb^m
• (a^m)ⁿ = a^mn
• 
  
• 
• a⁰ = 1
• (a^m)/(aⁿ) = a^m-n
• a^-m= 1/(a^m)

Binomial Theorem

• (a + b)¹ = a + b
• (a + b)² = a² + 2ab + b²
• (a + b)³ = a³ + 3a²b + 3ab² + b³
• (a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴ ...and so on...

Rules of Zero

• 0/x = 0 where x is not equal to 0.
• a⁰ = 1
• 0^a = 0
• a*0 = 0
• a/0 is undefined (you can't do it)