Question

Factorise the following:
$x ^ { 2 } - y ^ { 2 } - 2 y - 1$
​

Answer 1

$\huge \mathfrak \gray{Solution}$

$x {}^{2} - (y {}^{2} + 2y + 1 {}^{2} \\ x {}^{2} - (y + 1) {}^{2} \\ (x - (y - 1))(x + (y + 1)) \\ \boxed {(x - y - 1)(x + y + 1)}$

Answer 2

Step-by-step explanation:

Solution

\begin{gathered}x {}^{2} - (y {}^{2} + 2y + 1 {}^{2} \\ x {}^{2} - (y + 1) {}^{2} \\ (x - (y - 1))(x + (y + 1)) \\ \boxed {(x - y - 1)(x + y + 1)} \end{gathered}

x

2

−(y

2

+2y+1

2

x

2

−(y+1)

2

(x−(y−1))(x+(y+1))

(x−y−1)(x+y+1)