Why lg5 · LG20 = lg5 (2lg2 + lg5) See the answer is written like this, but I even to (1 + LG2) (1 - LG2), ask for detailed explanation

Why lg5 · LG20 = lg5 (2lg2 + lg5) See the answer is written like this, but I even to (1 + LG2) (1 - LG2), ask for detailed explanation

lg5·lg20
=lg5·lg(4×5)
=lg5·(lg4+lg5)
=Lg5 · (LG2 + lg5)
=lg5(2lg2+lg5)