Respuesta:
28
Explicación paso a paso: Formula utilizadas
[tex]a+b = 4, ab = 3[/tex] |
[tex]a^3+b^3 =[/tex] 28 | [tex](a+b)^{3}= a^{3}+ b^{3} +3a^2b+3ab^2[/tex]
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[tex](a+b)^3 = (4)^3\\[/tex] |
[tex]a^3+b^3+3a^2b+3ab^2 = 64[/tex] |
[tex]a^3+b^3+3ab(a+b) = 64\\[/tex] |
[tex]a^3+b^3+3(3)(4) = 64[/tex] |
[tex]a^3+b^3+36 = 64[/tex] |
[tex]a^3+b^3 = 64-36[/tex] |
[tex]a^3+b^3 = 28[/tex]
