?
$$\frac{{{{\left( {a - b} \right)}^2} - {{\left( {a + b} \right)}^2}}}{{ - 4a}}{\text{ = }}\frac{x}{y}$$ On simplifying the given equations, which of the following equations will be obtained ?
Answer & Solution
Correct Answer:
Option
D
$$\eqalign{
& \frac{{{{\left( {a - b} \right)}^2} - {{\left( {a + b} \right)}^2}}}{{ - 4a}}{\text{ = }}\frac{x}{y} \cr
& \Rightarrow \frac{{\left( {{a^2} + {b^2} - 2ab} \right) - \left( {{a^2} + {b^2} + 2ab} \right)}}{{ - 4a}} = \frac{x}{y} \cr
& \Rightarrow \frac{{ - 4ab}}{{ - 4a}} = \frac{x}{y} \cr
& \Rightarrow b = \frac{x}{y} \cr
& \Rightarrow x = yb \cr} $$
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