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As I'm reading a paper a paper "An Underdetermined Linear System for GPS" By Dan Kalman

And solving an equation, and I don't know how to simplify the following equation:

$$ (5.41-.095t-1)^2+(5.41-.095t-2)^2+(3.67-.067t)^2=.047^2(t-19.9)^2$$

to this one

$$0.02t^2-1.88t+43.56=0$$

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    Subtract $1$ from $5.41$ and $2$ from $5.41$ in the first and second terms. Then use the rule $(a+b)^2 = a^2+2ab+b^2$. Finally, add equal terms.2012-04-15
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    Is there much point in you reading this paper, if you are having such trouble with simple algebra?2012-04-15
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    is $$(.095t)^2$$ equals to $$(.095)^2 \cdot (t)^2$$2012-04-15
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    Yes. $(ab)^n = a^n b^n$.2012-04-15

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