Question

please factorise this fast with steps.

Answer 1

$25 {x}^{2} - 10x + 1 - 36 {y}^{2} \\ (25 {x}^{2} - 10x + 1) - 36 {y}^{2} \\ {(5x - 1)}^{2} - 36 {y}^{2} \\ using \: {a}^{2} - {b}^{2} = (a + b)(a - b) \\ we \: get \\ (5x - 1 - 6y)(5x - 1 + 6y)$

Answer 2

$25x {}^{2} - 10x + 1 - 36y {}^{2}$

$((5x ) {}^{2} + 2(5x)( - 1) + ( - 1) {}^{2} ) - 36y {}^{2}$

$(5x - 1) {}^{2} - 36y {}^{2}$

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

$(5x - 1 - 6y)(5x - 1 + 6y)$

Thanks