Question

$factorise \: \\ 1) \: \: 26 {x}^{2} - {y}^{2}$
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Answer 1

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$26 {x}^{2} - {y}^{2}$

we know , that

${a}^{2} - {b}^{2} = (a + b)(a - b)$

so, here...

${( \sqrt{26}x) }^{2} - {y}^{2}$

$\implies \: ( \sqrt{26} x + y)( \sqrt{26} - y)$