Math

QuestionEvaluate 6(z6)+2z2-6(z-6)+2 z^{2} for z=7z=7.

Studdy Solution

STEP 1

Assumptions1. The variable zz is equal to7

STEP 2

First, we need to substitute the value of zz into the given expression.
6(z6)+2z2=6(76)+2(7)2-6(z-6)+2 z^{2} = -6(7-6)+2(7)^{2}

STEP 3

Now, we simplify the expression inside the brackets.
6(76)+2(7)2=6(1)+2(49)-6(7-6)+2(7)^{2} = -6(1)+2(49)

STEP 4

Next, we perform the multiplication operations.
6(1)+2(49)=6+98-6(1)+2(49) = -6+98

STEP 5

Finally, we perform the addition operation to evaluate the expression.
+98=92-+98 =92So, the value of the expression (z)+2z2-(z-)+2 z^{2} for z=7z=7 is92.

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