Question

срочно,решите сами,без фотомач​

Answer 1

a² - b² = (a - b)(a + b)

(a + b)² = a² + 2ab + b²

(a² - b²)² / (a² + 2ab + b²) = ((a - b)(a + b))² / (a + b)² = (a - b)²(a + b)²/(a + b)² = (a - b)² = a² - 2ab + b²

Answer 2

$\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)} \\ \boxed{ {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} } \\ \boxed{ {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} }$

$\frac{ {( {a}^{2} - {b}^{2} )}^{2} }{ {a}^{2} + 2ab + {b}^{2} } = \frac{ { \big((a + b)(a - b) \big)}^{2} }{ {(a + b)}^{2} } = \frac{ \cancel{{(a + b)}^{2}} {(a - b)}^{2} }{ \cancel{{(a + b)}^{2} } } = {(a - b)}^{2} = \boldsymbol{{a}^{2} - 2ab + {b}^{2} }$