Question

8 evaluate the following expression for x=4 and y=2
$(x - y)^3 - \frac{x}{4}$

Explanation:

Step1: Substitute x=4 and y=2 into the expression

First, substitute \( x = 4 \) and \( y = 2 \) into \( (x - y)^3 - \frac{x}{4} \). So we get \( (4 - 2)^3 - \frac{4}{4} \).

Step2: Calculate the value inside the parentheses and the exponent

Calculate \( 4 - 2 = 2 \), then raise it to the power of 3: \( 2^3 = 8 \). Also, calculate \( \frac{4}{4} = 1 \).

Step3: Subtract the two results

Now subtract the second result from the first: \( 8 - 1 = 7 \).

Answer:

7