?Simplify

Simplify[
(((1+q))^2)-q(((1+Cos[χ]))^2)+(((1-l))^2)-2(1-l)(Sqrt[((1+q)/(((Cos[χ])^2)+q))])(q-Cos[χ])<4,
0<q<1∧0<l<1∧0≤χ≤(π/2)]

Simplify[
(((1+q))^2)-q(((1-Cos[χ]))^2)+(((1-l))^2)-2(1-l)(Sqrt[((1+q)/(((Cos[χ])^2)+q))])(q+Cos[χ])<4,
0<q<1∧0<l<1∧0≤χ≤(π/2)]