Question

ayúdenme con este deber porfa​

Answer 1

Respuestas:

$\frac{ {a}^{2} - {b}^{2} }{a - b} = \frac{(a - b)(a + b)}{(a - b)} = a + b \\ \\ \frac{ {a}^{3} - {b}^{3} }{a - b} = \frac{(a - b)( {a}^{2} + ab + {b)}^{2} }{(a - b)} \\ = {a}^{2} + ab + {b}^{2} \\ \\ \frac{ {a}^{3} + {b}^{3} }{a + b} = \frac{(a + b)( {a}^{2} - ab + {b}^{2}) }{(a + b)} \\ = {a}^{2} - ab + {b}^{2}$

Answer 2

Explicación paso a paso:

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

$\frac{ {a}^{3} - {b}^{3} }{a - b} = \frac{(a - b)( {a}^{2} + ab + {b}^{2}) }{a - b} = {a}^{2} + ab + {b}^{2}$

$\frac{ {a}^{3} + {b}^{3} }{a + b} = \frac{(a + b)( {a}^{2} - ab + {b}^{2}) }{a + b} = {a}^{2} - ab + {b}^{2}$