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Chapter 0: Problem 12

Evaluate each algebraic expression for the given value or values of the variable(s). $$x^{2}-4(x-y), \text { for } x=8 \text { and } y=3$$

Short Answer

Expert verified
When \(x = 8\) and \(y = 3\), the expression \(x^{2}-4(x-y)\) evaluates to \(44\).

Step by step solution

01

Substitute given values

Substitute the given values \(x=8\) and \(y=3\) into the algebraic expression: \(8^{2}-4(8-3)\).
02

Evaluate inside the parentheses

According to the rule of operations (PEMDAS/BODMAS), perform the operations inside the parentheses first: \(8^{2}-4(5)\).
03

Perform exponentiation

First, calculate the exponentiation: \(64 - 4(5)\).
04

Perform the multiplication

Next, perform the multiplication: \(64 - 20\).
05

Perform the subtraction

Lastly, perform the subtraction: \(44\).

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