Question

a^2+2a+1 factorise.......

Answer 1

$\textbf{Answer -}$

Now,

a^2 + 2a + 1

= (a + 1)^2

= (a + 1) (a + 1),

which is the required factorization.

Another method :

Now,

a^2 + 2a + 1

= a^2 + a + a + 1

= a (a + 1) + 1 (a + 1)

= (a + 1) (a + 1),

which is the required factorization.

#MarkAsBrainliest

Answer 2

$(a) {}^{2} + 2(a)(1) + ( {1)}^{2} \\ = (a + 1) {}^{2} \\ (a + 1)(a + 1)$