Resposta:
a² +b²
______
a - b
Explicação passo-a-passo:
Resolução :
a⁴ - b ⁴
_____________ =
a³- a²b - ab²+b³
(a²) ² - (b²) ²
a²(a-b) - b²(a-b)
(a² + b²) (a² - b²)
______________ =
(a-b) (a² - b²)
_______
[tex] \frac{a {}^{2} + b {}^{2} }{a - b} \\ [/tex]
[tex] \blue{ \frac{a {}^{4} - b {}^{4} }{a {}^{3} - a {}^{2}b - ab {}^{2} + b {}^{3}} } \\ \\ \frac{a {}^{4} - b {}^{4} }{a {}^{3} - a {}^{2}b - ab {}^{2} + b {}^{3} } \\ \\ \frac{(a - b)(a + b)(a {}^{2} + b {}^{2}) }{a {}^{3} - a {}^{2}b - ab {}^{2} + b {}^{3}} \\ \\ \frac{(a - b)(a + b)(a {}^{2} + b {}^{2})}{(a - b {}^{2})(a + b) }\\ \\ \frac{(a - b)(a + b)(a {}^{2} + b {}^{2}) }{(a - b)(a + b)(a - b)} \\ \\ \frac{a {}^{2} + b {}^{2} }{a - b} \\ \\ \frac{a {}^{4} - b {}^{4}}{a {}^{3} - a {}^{2}b - ab {}^{2} + b {}^{3}} \\ \\ \frac{a {}^{2} + b {}^{2} }{a - b} \\ resposta \\ \frac{a {}^{2} + b {}^{2} }{a - b} [/tex]
Copyright © 2024 ELIBRARY.TIPS - All rights reserved.
Lista de comentários
Resposta:
a² +b²
______
a - b
Explicação passo-a-passo:
Resolução :
a⁴ - b ⁴
_____________ =
a³- a²b - ab²+b³
(a²) ² - (b²) ²
_____________ =
a²(a-b) - b²(a-b)
(a² + b²) (a² - b²)
______________ =
(a-b) (a² - b²)
a² +b²
_______
a - b
Resposta:
[tex] \frac{a {}^{2} + b {}^{2} }{a - b} \\ [/tex]
Explicação passo-a-passo:
[tex] \blue{ \frac{a {}^{4} - b {}^{4} }{a {}^{3} - a {}^{2}b - ab {}^{2} + b {}^{3}} } \\ \\ \frac{a {}^{4} - b {}^{4} }{a {}^{3} - a {}^{2}b - ab {}^{2} + b {}^{3} } \\ \\ \frac{(a - b)(a + b)(a {}^{2} + b {}^{2}) }{a {}^{3} - a {}^{2}b - ab {}^{2} + b {}^{3}} \\ \\ \frac{(a - b)(a + b)(a {}^{2} + b {}^{2})}{(a - b {}^{2})(a + b) }\\ \\ \frac{(a - b)(a + b)(a {}^{2} + b {}^{2}) }{(a - b)(a + b)(a - b)} \\ \\ \frac{a {}^{2} + b {}^{2} }{a - b} \\ \\ \frac{a {}^{4} - b {}^{4}}{a {}^{3} - a {}^{2}b - ab {}^{2} + b {}^{3}} \\ \\ \frac{a {}^{2} + b {}^{2} }{a - b} \\ resposta \\ \frac{a {}^{2} + b {}^{2} }{a - b} [/tex]