Problem

Evaluate the algebraic expression for the given value of the variable.
\[
x^{2}-22 ; x=-4
\]
For $x=-4, x^{2}-22=$
(Type an integer or a simplified fraction.)

Answer

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Answer

So, the result of the algebraic expression \(x^{2}-22\) for \(x=-4\) is \(\boxed{-6}\).

Steps

Step 1 :The question is asking to substitute the value of x in the given algebraic expression and then simplify it. The algebraic expression is \(x^{2}-22\) and the given value of x is -4. So, we need to substitute -4 in place of x in the expression and then simplify it.

Step 2 :Substitute x = -4 into the expression, we get \((-4)^{2}-22\).

Step 3 :After simplifying, we get -6.

Step 4 :So, the result of the algebraic expression \(x^{2}-22\) for \(x=-4\) is \(\boxed{-6}\).

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