Final answer:
To evaluate the expression a³ - b³ - 3ab(a - b) with a = -3 and b = 1, compute each term (-27 - 1 - 36) to get the answer -64.
Step-by-step explanation:
The question asks us to find the value of the expression a³ - b³ - 3ab(a - b) when a = -3 and b = 1. Let's evaluate each part of the expression:
- a³ means a raised to the power of 3, which is (-3)³ = -27.
- b³ means b raised to the power of 3, which is 1³ = 1.
- 3ab(a - b) is 3*(-3)*1*(-3 - 1) = -3*3*(-4) = 36.
Now, substituting these values into the expression, we have:
a³ - b³ - 3ab(a - b) = -27 - 1 - 36 = -64.
The value of the expression, when a = -3 and b = 1, is -64.
completed question:
Find the value of the expression a³-b³-3ab(a-b) when a= -3 b= 1?