Question

Factorise the following expression.
$5 {x}^{2} - 25 {y}^{2}$
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Answer 1

Answer:

${5x}^{2} - 25 {y}^{2} \\ = ( \sqrt{5} x) {}^{2} - (5y) {}^{2} \\ = ( \sqrt{5} x - 5y)( \sqrt{5} x + 5y) \\ \\ \\ we \: have \: used \: the \: formula \: of \: \\ {a}^{2} - {b}^{2} = (a - b)(a + b)$

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