Question

Factorise x²+x+1/4 using algebraic identities.​

Answer 1

Answer:

$(x+1/2)^{2}$

Step-by-step explanation:

 $x^{2}$+x+1/4

=$(x)^{2}$+x+$(1/2)^{2}$

a=x,b=1/2

2ab= 2 × x × 1/2 = x

using identity $(a+b)^{2}$=$a^{2}$+2ab+$b^{2}$

∴ $x^{2}$+x+1/4=$(x+1/2)^{2}$