evaluate 4(a² + 2b) - 2b when a = 2 and b = -2.

Answer

Explanation:

Step1: Substitute values of a and b

Substitute (a = 2) and (b=-2) into the expression (4(a^{2}+2b)-2b). [4(2^{2}+2\times(-2))-2\times(-2)]

Step2: Calculate the value inside the parentheses

First, calculate (2^{2}+2\times(-2)). [2^{2}=4] and (2\times(-2)= - 4), so (2^{2}+2\times(-2)=4+( - 4)=0). The expression becomes (4\times0-2\times(-2)).

Step3: Perform multiplications

Calculate (4\times0 = 0) and (-2\times(-2)=4). The expression is (0 + 4).

Step4: Get the final result

[0+4=4]