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 ;