10 identities of algebra and give two examples for each
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(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)
(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)
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