Question

${a}^{2} + a + \frac{1}{4}$
Factorize​

Answer 1

Step-by-step explanation:

Given expression is a²+a+ 1/4

It can be written as (a)²+2(a)(1/2)+(1/2)²

This is in the form of a²+2ab+b²

Here,a =a

and b=1/2

we know that a²+2ab+b²=(a+b)²

Now,

(a)²+2(a)(1/2)+(1/2)²=(a+1/2)²

=>(a+1/2)(a+1/2)

Therefore,

a²+a+1/4 = (a+1/2)(a+1/2)