Question

factorise the following x^2-y^2-2y-1

Answer 1

Hope this answer helps

Answer 2

HERE IS YOUR ANSWER..⬇⬇

$\purple{\underline{SOLUTION}}$ ➡

$x {}^{2} - y {}^{2} - 2y - 1 \\ \\ = x {}^{2} - (y {}^{2} + 2y + 1) \\ \\ = x {}^{2} - (y {}^{2} + 2 \times y \times 1 + 1 {}^{2} ) \\ \\ = x {}^{2} - (y + 1) {}^{2} \: \: \: \: \: [Using \: (a + b) {}^{2} = a {}^{2} + 2ab + b {}^{2} \: \: \: identy] \\ \\ = (x + y + 1)(x - y - 1) \: \: \: \: [Using \: \: a {}^{2} - b {}^{2} = ( a+ b)( a-b ) \: \: identy]$

✝✝$\purple{\underline{.HOPE \: \: IT \: \: HELPS \: \: YOU.}}$✝✝