TOPICS
Formulae
Division :-
1. Dividend = (Divisor × Quotient) + Remainder
2. p(x) = g(x)q(x) + r(x)
    
Identities :-
1. (a + b)² = a² + b² + 2ab
2. (a + b)² = (a - b)² + 4ab
3. (a - b)² = a² + b² - 2ab
4. (a - b)² = (a + b)² - 4ab
5. a² - b² = (a + b)(a - b)
6. (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac
7. (x + a) (x + b) = x² + (a + b)x + ab
    
Identities :-
1. (a + b)³ = a³ + b³ + 3ab (a + b)
2. (a + b)³ = a³ + b³ + 3a²b + 3ab²
3. (a - b)³ = a³ - b³ - 3ab (a - b)
4. (a - b)³ = a³ - b³ - 3a²b + 3ab²
5. a³ - b³ = (a - b)(a² + b² + ab) 
6. a³ + b³ = (a + b)(a² + b² - ab)
7. a³ + b³ + c³ - 3abc = (a + b + c)(a² + b² + c² - ab - bc - ac)
    
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