Find the value of a^3 + b^3 when a + b = 4, ab = 3?

Find the value of a^3 + b^3 when a + b = 4, ab = 3?

Explanation

Using the identity:

a³ + b³ = (a + b)³ - 3ab(a + b)

Given:

a + b = 4

ab = 3

Substitute the values:

a³ + b³ = (4)³ - 3(3)(4)

= 64 - 36

= 28