Welcome to Scrappy’s documentation!
Contents:
\[(a + b)^2 = a^2 + 2ab + b^2\]\[(a - b)^2 = a^2 - 2ab + b^2\]
\[\cos (2\theta) = \cos^2 \theta - \sin^2 \theta\]
\[\begin{split}(a + b)^2 &= (a + b)(a + b) \\
&= a^2 + 2ab + b^2\end{split}\]
\[\begin{eqnarray}
y & = & ax^2 + bx + c \\
f(x) & = & x^2 + 2xy + y^2
\end{eqnarray}\]
\[\begin{eqnarray}
\sqrt{ (k-0)^2 +( -2k + 2)^2} &=& \sqrt{(k +2)^2 +(-2k +6)^2} \\
\Rightarrow k^2 + 4k^2 -8k +4 &=& k^2 +4k +4 +4k^2 -24k +36 \\
\Rightarrow -8k +4 &=& 40 -20k \\
\Rightarrow 12k &=& 36 \\
\Rightarrow k &=& 3 \\
\end{eqnarray}\]
(1)\[e^{i\pi} + 1 = 0\]
Euler’s identity, equation (1), was elected one of the most
beautiful mathematical formulas.