Question

If 2a +3b =13 and ab=6 ,find the value of 8a cube +27 b cube. Answer needed urgently

Answer 1

Answer:

793 is the answer for the given problem

Answer 2

Concept:

The formula of  (a + b)³

(a + b)³ = a³ + 3a²b + 3ab² + b³

Given:

Two equations values are given as 2a +3b =13 and ab=6

Find:

We have to find the value of 8a³  +27 b³

Solution:

Let's cube the given equation as we need the answer in cube form:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(2a +3b)³ = (13)³

8a³ + 27b³ + 18 ab(2a +3b) =  2197

Put value of 2a +3b =13 and ab=6

8a³ + 27b³ + 18× 6× 13 = 2197

So, 8a³ + 27b³=  793

Hence, the value of 8a³ + 27b³=  793

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