SOLUTION: Given: f(x) = x2 + 2x + 1, find f(x + h) and simplify

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Question 642640: Given: f(x) = x2 + 2x + 1, find f(x + h) and simplify
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = x^2 + 2x + 1

f(x+h) = (x+h)^2 + 2(x+h) + 1

f(x+h) = (x^2+2xh+h^2) + 2(x+h) + 1

f(x+h) = x^2+2xh+h^2 + 2x+2h + 1

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Given: f%28x%29+=+x%5E2+%2B+2x+%2B+1, find f%28x+%2B+h%29 and simplify
replace x with x%2Bh:

f%28x%2Bh%29+=+%28x%2Bh%29%5E2+%2B+2%28x%2Bh%29+%2B+1

f%28x%2Bh%29+=+%28x%2Bh%29%28x%2Bh%29+%2B+2%28x%2Bh%29+%2B+1....replace 2%28x%2Bh%29 with %28x%2Bh%29%2B%28x%2Bh%29


f%28x%2Bh%29+=+%28x%2Bh%29%28x%2Bh%29+%2B%28x%2Bh%29+%2B%28x%2Bh%29%2B+1...group first two and second two terms together
f%28x%2Bh%29+=+%28%28x%2Bh%29%28x%2Bh%29+%2B%28x%2Bh%29%29+%2B%28%28x%2Bh%29%2B+1%29
f%28x%2Bh%29+=+%28x%2Bh%29%28%28x%2Bh%29+%2B1%29+%2B%28%28x%2Bh%29%2B+1%29
f%28x%2Bh%29+=+%28%28x%2Bh%29%2B1%29%28%28x%2Bh%29%2B+1%29
f%28x%2Bh%29+=+%28x%2Bh%2B1%29%28x%2Bh%2B+1%29