Question

split the middle term​

Answer 1

a²+2a+1
=a²+a(1+1)+1
=a²+a+a+1
=a(a+1)+1(a+1)
=(a+1)(a+1)
=(a+1)²

Answer 2

SOLUTION :

Given that,

${a}^{2} + 2a + 1$

Let us solve this numerical by middle term splitting.

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

${a}^{2} + a + a + 1$

Now we have to take common.

$a(a + 1) + 1(a + 1)$

$(a + 1)(a + 1)$