Question

Factorise :
p² + pq + (q²/4) + 1 - 2p - q

Answer 1

Answer:

p^2+pq+q^2/4+1+2p+q

=p^2+q^2/4+1+pq+q+2p

=p^2+(q/2)^2+(1)^2+2(p)(q/2)+2(q/2)(1)+2(1)(p)

=(p+q/2+1)^2