SOLUTION: If f(x)=3x 2nd power+2, then what is f(a+b)?

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Question 117134: If f(x)=3x 2nd power+2, then what is f(a+b)?
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
If f%28x%29=3x+%5E2%2B2, then what is f+%28a%2Bb%29+?
Substitute x with a%2Bb:

f%28a%2Bb%29=3%28a%2Bb%29%5E2%2B2
f%28a%2Bb%29=3%28a%5E2+%2B+2ab+%2Bb%5E2%29%2B2
f%28a%2Bb%29=3a%5E2+%2B+6ab+%2B+3b%5E2+%2B+2

f%28a%2Bb%29=3%28a%5E2+%2B+b%5E2+%29+%2B+2%283ab+%2B+1%29