Question

$\frac{25}{4} x {}^{2} - \frac{y {}^{2} }{9}$
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Answer 1

Answer:

$\frac{25 {x}^{2} }{4} - \frac{ {y}^{2} }{9} \\ = \frac{9(25 {x}^{2}) - 4( {y}^{2}) }{36} \\ = \frac{225 {x}^{2} - 4 {y}^{2} }{36} \\ \\ 225 \: \: is \: \: \: the \: \: square \: \: of \: \: 15 \\ 4\: \: is \: \: \: the \: \: square \: \: of \: \: 2 \\ {x}^{2} \: \: is \: \: \: the \: \: square \: \: of \: \: x \\ {y}^{2} \: \: is \: \: \: the \: \: square \: \: of \: \: y \\ \\ \frac{225 {x}^{2} - 4 {y}^{2} }{36} \\ By \: \: using \: \: the \: \: Formula \: \: : \\ {a}^{2} - {b}^{2} = (a + b)(a - b) \\ Final \: \: Answer \: \: is \: \: : \\ \large{\boxed { \underline {\underline {\frac{(15x + 2y)(15x - 2y)}{36} }}}}$