Simplify: $(l + m)^{2} - 4 l m$

(l - m)^{2}

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4 l^{2} m^{2}

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(l + 2 m)^{2}

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(l - 2 m)^{2}

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Solution

The correct option is A $(l - m)^{2}$
$(l + m)^{2} - 4 l m$
$= l^{2} + 2 l m + m^{2} - 4 l m$
$= l^{2} - 2 l m + m^{2}$
$= (l - m)^{2}$

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a

\begin{matrix} Column I & Column II (a) & Acceleration of m_{1} in elevator frame & (p) & \frac{1}{2} (\frac{(m_{2} - m_{1}) g + 2 m_{2} a}{m_{1} + m_{2}}) t^{2} (b) & Acceleration of m_{1} in ground frame & (q) & \frac{1}{2} [\frac{m_{2} - m_{1}}{(m_{1} + m_{2})} (g + a)] t^{2} (c) & Distance covered of m_{1} in elevator frame & (r) & (\frac{m_{2} - m_{1}}{m_{1} + m_{2}}) g + (\frac{2 m_{2}}{m_{1} + m_{2}}) a (d) & Distance covered of m_{1} in ground frame & (s) & \frac{(m_{2} - m_{1})}{(m_{1} + m_{2})} (g + a) (t) & None of the above \end{matrix}

(l + m)^{2} - (l - m)^{2}

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