Math

QuestionEvaluate 8(z95)2-8(z-95)^{2} for z=97z=97.

Studdy Solution

STEP 1

Assumptions1. The value of z is97. The expression to be evaluated is 8(z95)-8(z-95)^{}

STEP 2

First, let's substitute the given value of z into the expression.
8(z95)2=8(9795)2-8(z-95)^{2} = -8(97-95)^{2}

STEP 3

Now, calculate the value inside the parentheses.
8(9795)2=8(2)2-8(97-95)^{2} = -8(2)^{2}

STEP 4

Calculate the square of2.
8(2)2=8(4)-8(2)^{2} = -8(4)

STEP 5

Finally, multiply -8 by4 to evaluate the expression.
8(4)=32-8(4) = -32So, the value of the expression 8(z95)2-8(z-95)^{2} for z=97z=97 is -32.

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