1.

write identity

Answer» (1) (a + b)² = a² + 2 ab + b²(2) (a + b)² = (a - b)² + 4 ab(3) (a - b)² = a² - 2 ab + b²(4) (a - b)² = (a + b)² - 4 ab(5) a² - b² = (a + b) (a - b)(6) (x+a) (x+b) =x² + (a + b) x+a b(7) (a+b)³=a³+3a²b+3ab²+b³(8) (a+b)³=a³+b³+3ab(a+b)(9) (a-b)³=a³-3a²b+3ab²-b³(10) (a-b)³=a³-b³-3ab(a-b)(11) a³+b³ = (a+b)(a²-ab+b²)(12) a³+b³=(a+b)³-3 ab(a + b)(13) a³-b³= (a-b)(a²+ab+ b²)(14) a³-b³=(a-b)³ +3ab(a-b)(15) (a+b+c)²= a²+b²+c² +2ab+2bc+2ca(16) (a+b-c)²=a²+b²+c² +2ab-2bc-2ca(17) (a-b+c)²= a²+b²+c²-2ab-2bc+2ca(18) (a-b-c)²= a²+b²+c²-2ab+2bc-2ca(19) a² + b² = (a + b)² - 2ab(20) a² + b² = (a - b)² + 2ab(21) a² + b²=½ [(a+b)²-(a-b)²](22) ab = ¼[(a+b)²- (a - b)²](23) (a + b + c)³ = a³ + b³ + c³ + 3a²b + 3a²c + 3ab² + 3b²c + 3ac² + 3bc² + 6abc(24) (a + b - c)³ = a³ + b³ - c³ + 3a²b - 3a²c + 3ab² - 3b²c + 3ac² + 3bc² - 6abc(25) (a - b + c)³ = a³ - b³ + c³ - 3a²b + 3a²c + 3ab² + 3b²c + 3ac² - 3bc² - 6abc(26) (a - b - c)³ = a³ - b³ - c³ - 3a²b - 3a²c + 3ab²
(a+b)^2=a^2+2ab+b^2


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