Mathematics Sequences and Series Arithmetic Progressions

If a, b > 0, then the maximum value of \(\dfrac{a^3b}{(a + b)^4}\)is:

1
\(\dfrac{27}{512}\)
2
\(\dfrac{81}{256}\)
3
\(\dfrac{81}{512}\)
4
\(\dfrac{27}{256}\)

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