Problem

Evaluate the algebraic expression $6+3(x-7)^{2}$ for $x=9$
When $x=9,6+3(x-7)^{2}=$

Answer

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Answer

So, the final answer is \(\boxed{18}\)

Steps

Step 1 :Substitute $x=9$ into the expression $6+3(x-7)^{2}$

Step 2 :Calculate the value inside the parentheses: $9-7=2$

Step 3 :Square the result: $2^{2}=4$

Step 4 :Multiply by 3: $3*4=12$

Step 5 :Add 6: $6+12=18$

Step 6 :So, the final answer is \(\boxed{18}\)

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