(lg50)^2+lg2*lg50^2+(lg2)^2

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(lg50)^2+lg2*lg50^2+(lg2)^2(lg50)^2+lg2*lg50^2+(lg2)^2(lg50)^2+lg2*lg50^2+(lg2)^2(lg50)^2+lg2*lg50^2

(lg50)^2+lg2*lg50^2+(lg2)^2
(lg50)^2+lg2*lg50^2+(lg2)^2

(lg50)^2+lg2*lg50^2+(lg2)^2
(lg50)^2+lg2*lg50^2+(lg2)^2
=(lg50)^2+2lg2*lg50+(lg2)^2
=(lg50+lg2)^2
=(lg100)^2
=2^2
=4