Question

Evaluate each of the following expressions given that a = -2, b = 1 and c = 2.

(¹) a³ + b³ + c³
(ii) -a²b+-abc+5
(iii) 4a²b-ab²+abc
(iv) c²-b²+¹a²

Answer 1

The values of the given expressions are calculated by substituting a = -2, b = 1, and c = 2 into each one. After evaluating, we find that the values of the expressions are 1, 5, 14, and 7, respectively.

Step-by-step explanation:

Let's evaluate each expression given the values of a = -2, b = 1, and c = 2.

• a³ + b³ + c³ = (-2)³ + (1)³ + (2)³

= -8 + 1 + 8

= 1.

• -a²b - abc + 5 = -(-2)²(1) - (-2)(1)(2) + 5

= -4 - (-4) + 5

= 5.

• 4a²b - ab² + abc = 4(-2)²(1) - (-2)(1)² + (-2)(1)(2)

= 16 - (-2) - 4

= 14.

• c² - b² + 1a² = (2)² - (1)² + 1(-2)²

= 4 - 1 + 4

= 7.