Easy Math Question - 1

pcharles93

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OK, the other math questions are complete gibberish to me, so I'm gonna make up my own easier set of problems.

What is one way to find a sequence of squared numbers using only one perfect square and simple addition? To make your solutions shorter, you can express some numbers as derivitives. It helps if you know polynomials. I figured this out out of boredom and use it a lot.

If you don't understand the question, here's the less wordy way.

Given: x, x^2, y=x+1
Find y^2 without squaring y or adding y y times.

Here's the polynomial way of expressing it.
x^2
y=x^2+2x+1
x^2+2x+1-x^2=2x+1

Basically. x^2-y^2=x+y.
 
i don't think i understand the question so well but i will write my solution:

if y = x+1 then y^2 = x^2 + 2x + 1
 
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