Question

a) (a+b)² = a² + 2ab + b²

b) (a-b)² = a² - 2ab + b²

c) (a+b) (a - b) = a² + b²



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Answer 1

✦✧✧ Answer ✧✧✦

$a) \: (a + b {)}^{2} {a}^{2} + 2ab + {b}^{2} \\ \\ ((a + b)a {)}^{2} + 2ab + {b}^{2} \\ \\ ( {a}^{2} + ab {)}^{2} + 2ab + {b }^{2} \\ \\ {a}^{4} + 2 {a}^{3} b + {a}^{2} {b}^{2} + 2ab + {b}^{2}$

$c) \: (a + b) \times (a - b) = {a}^{2} + {b}^{2} \\ {a}^{2} - {b}^{2} = {a}^{2} + {b}^{2} \\ \\ - {b}^{2} = {b}^{2}$