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