Question

Pl answer fast pls pls
Factorise this fasttt

Answer 1

Answer:

( Z + 1/2 )( Z + 1/2 )

Step-by-step explanation:

Z² + Z + 1/4

⇒ Z² + 1/2 Z + 1/2 Z + 1/4

⇒ Z (  Z + 1/2 ) + 1/2 ( Z + 1/2 )

⇒ ( Z + 1/2 )( Z + 1/2 )

Thus the factorised answer is ( Z + 1/2 )( Z + 1/2 )

Answer 2

${\bold{Answer:}}$

$\sf \bigg(z + \dfrac{1}{2} \bigg)\bigg(z + \dfrac{1}{2} \bigg)$

${\bold{Full \: by \: Full \: Explanation:}}$

$\sf \implies z {}^{2} + z + \dfrac{1}{4} \\ \sf \implies z {}^{2} + \dfrac{1}{2} z + \dfrac{1}{2} z + \dfrac{1}{4} \\ \sf \implies z \bigg(z + \frac{1}{2} \bigg ) + \dfrac{1}{2} \bigg(z + \frac{1}{2} \bigg) \\ \sf \implies \bigg(z + \frac{1}{2} \bigg ) \bigg(z + \frac{1}{2} \bigg ) \\ \\ \sf We \: can \: also \: write \: as \: \\ \sf{\bigg(z + \frac{1}{2} \bigg ) }^{ 2}$