Algebra Formulas : All Algebra Formula Sheet

This is all algebra formula sheet ;

Square formula

 

  • (a+b)² = a²+b²+2ab
  • (a-b)² = a²+b²-2ab
  • (a+b)² = (a-b)²+ 4ab
  • (a-b)² = (a+b)²-4ab
  • a²+b² = (a+b)²-2ab = (a-b)² + 2ab
  • a²-b² = (a+b)(a-b)
  • (a²-b²)² = a⁴ + b⁴ -2a²b²
  • a⁴+b⁴ = (a²+b²)²-2a²b²
  • a⁴+b⁴ = (a²-b²)²+2a²b²
  • 2ab = (a+b)² – (a²-b²)
  • 2(a²+b²) = (a+b)²+(a-b)²
  • 4ab = (a+b)²-(a-b)²
  • (a+b)/(a-b) + (a-b)/(a+b) = 2(a²+b²)/(a²-b²)
  • (a+b)/(a-b) – (a-b)/(a+b) = 4ab/(a²-b²)

Cube formulae :

  • (a+b)³ = a³+b³+3ab(a+b) = a³+b³+3a²b+3ab²
  • a³+b³ = (a+b)³ -3ab(a+b) = (a+b)(a²+b²-ab) = (a+b)[(a+b)²-3ab]
  • a²+b²-ab = (a³+b³)/(a+b) or (a+b) = (a³+b³)/ a²+b²-ab
  • a-b)³= a³-b³-3ab(a-b) = a³-b³-3a²b+3ab²
  • a³-b³ = (a-b)³+3ab(a-b) = (a-b)(a²+b²+ab) = (a-b)[(a-b)²+3ab]

All Maths Formula List ;

All agebra formula list

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