Question

Factorize : x^2 - 1 - 2a - a^2
Please solve step by step.
Don't directly write main answer as I know it. I just want steps
Answer => (x+a+1)(x-a-1)

Answer 1

Step-by-step explanation:

=x²-1-2a-a²

=x²-(1+2a+a²)

=x²-(a+1)²

=(x+a+1)(x-a-1)

Answer 2

Answer:

$\begin{gathered}\huge\star{\pink{\underline{\mathfrak{answer}}}}⋆ \\\end{gathered}$

Step-by-step explanation:

$→x {}^{2} - (1 + 2a + a {}^{2} )$

$→x {}^{2} - [(1) {}^{2} + 2 \times 1 \times a + (a) {}^{2} ]$

$→x {}^{2} - (1 + a) {}^{2} [ Since,a {}^{2} + 2ab + b {}^{2} = (a + b) {}^{2} ]$

We know, a² - b² = (a + b) ( a - b)

$→(x + 1 + a)(x - 1 - a)$

$∴x {}^{2} - 1 - 2a - a {}^{2} = (x + 1 + a)$$(x - 1 - a)$