The value of a³ + b³ + 9ab - 26, given that a + b - 3 = 0, is calculated to be 1
How to determine the value of a³ + b³ + 9ab - 26?
From the question given, we have been informed of the following:
- a + b - 3 = 0
- Value of a³ + b³ + 9ab - 26 =?
Now, if a + b - 3 = 0, it means that:
a + b = 3
Now, we shall assume a = 1 and b = 2.
With the above logic, we shall determine the value of the expression a³ + b³ + 9ab - 26. Details below:
a³ + b³ + 9ab - 26
= (1)³ + (2)³ + 9(1 × 2) - 26
= 1 + 8 + 9(2) - 26
= 1 + 8 + 18 - 26
= 1
Thus, the value of the expression a³ + b³ + 9ab - 26 is 1