Problem 11 - College Algebra Essentials

Question

Evaluate each algebraic expression for the given value or values of the variable(s). $$x^{2}-3(x-y), \text { for } x=8 \text { and } y=2$$

Step-by-Step Solution

Answer

The evaluated result of the given algebraic expression for \(x=8\) and \(y=2\) is \(46\).

Step 1: Substitute the values of the variables

Replace \(x\) with 8 and \(y\) with 2 in the expression \(x^{2}-3(x-y)\), which results in \(8^{2}-3(8-2)\).

Step 2: Simplify the expression in the parentheses

Perform the subtraction operation in the parentheses first: \(8^{2}-3(6)\).

Step 3: Further simplification

Next, perform the multiplication operation: \(64-18\).

Step 4: Compute the final result

Finally, subtract 18 from 64 to obtain the result: \(46\).