Answer:
To evaluate the expression X(4) + 3(Y) - 3[2(X) - Y + 2] with the given values X = 4 and Y = 6, we substitute these values into the expression and simplify step by step.
Let's break down the expression and evaluate it:
X(4) + 3(Y) - 3[2(X) - Y + 2]
Step 1: Substitute X = 4 and Y = 6 into the expression: 4(4) + 3(6) - 3[2(4) - 6 + 2]
Step 2: Simplify the multiplication and addition within the brackets: 16 + 3(6) - 3[8 - 6 + 2]
Step 3: Continue simplifying within the brackets: 16 + 18 - 3[4]
Step 4: Evaluate the multiplication within the brackets: 16 + 18 - 12
Step 5: Perform the remaining addition and subtraction: 34 - 12
Step 6: Calculate the final result: 22
Therefore, the value of the expression X(4) + 3(Y) - 3[2(X) - Y + 2] with X = 4 and Y = 6 is 22.