Question

Ayudenme con esta proporción.

Answer 1

(a + b)(c + d)(e + f) = 8¹⁶

b(a/b + 1) • d(c/d + 1) • f(e/f + 1) = 8¹⁶

b•d•f • (K + 1)(K + 1)(K + 1) = 8¹⁶

bdf • (K + 1)³ = 8¹⁶

bdf = (2³)¹⁶/(K + 1)³

(a + b)(c + d)(e + f) = 8¹⁶

a(1 + b/a)•c(1 + d/c)•e(1 + f/e) = 8¹⁶

ace•(1 + 1/K)³ = 8¹⁶

ace = (2³)¹⁶/(1 + 1/K)³

∛(ace) + ∛(bdf) =

2¹⁶/(1 + 1/K) + 2¹⁶/(K + 1) =

[2¹⁶(K + 1) + 2¹⁶(1 + 1/K)]/[(1 + 1/K)(K + 1)] =

2¹⁶(K + 2 + 1/K)/(K + 2 + 1/K) = 2¹⁶

Rta: 2¹⁶