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Chapter 0: Problem 11

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

Short Answer

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

Step by step solution

01

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 \(8^{2}-3(8-2)\).
02

Simplify the expression in the parentheses

Perform the subtraction operation in the parentheses first: \(8^{2}-3(6)\).
03

Further simplification

Next, perform the multiplication operation: \(64-18\).
04

Compute the final result

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

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