A = 2019 2018 ( 2 ⋅ 2019 2 − 2020 ⋅ 2019 − 2018 ) = A=2019^{2018}(2 \cdot 2019^2-2020 \cdot 2019 - 2018)= A = 201 9 2018 ( 2 ⋅ 201 9 2 − 2020 ⋅ 2019 − 2018 ) = = 2019 2018 [ 2019 ( 2 ⋅ 2019 − 2020 ⏟ 2018 ) − 2018 ] = =2019^{2018}[2019(\underbrace{2 \cdot 2019 - 2020}_{2018})-2018]= = 201 9 2018 [ 2019 ( 2018 2 ⋅ 2019 − 2020 ) − 2018 ] = = 2019 2018 ( 2019 ⋅ 2018 − 2018 ) = =2019^{2018}(2019 \cdot 2018 - 2018)= = 201 9 2018 ( 2019 ⋅ 2018 − 2018 ) = = ( 2019 1009 ) 2 ⋅ 2018 2 =(2019^{1009})^2 \cdot 2018^2 = ( 201 9 1009 ) 2 ⋅ 201 8 2
B = ( 3 3 ) 10 ⋅ ( 2 5 ) 11 − ( 2 4 ) 7 ⋅ 2 27 ⋅ 3 27 ⋅ 23 = B=(3^3)^{10} \cdot (2^5)^{11} - (2^4)^7 \cdot 2^{27} \cdot 3^{27} \cdot 23 = B = ( 3 3 ) 10 ⋅ ( 2 5 ) 11 − ( 2 4 ) 7 ⋅ 2 27 ⋅ 3 27 ⋅ 23 = = 3 30 ⋅ 2 55 − 2 28 ⋅ 2 27 ⏟ 2 55 ⋅ 3 27 ⋅ 23 = =3^{30} \cdot 2^{55} - \underbrace{2^{28} \cdot 2^{27}}_{2^{55}} \cdot 3^{27} \cdot 23= = 3 30 ⋅ 2 55 − 2 55 2 28 ⋅ 2 27 ⋅ 3 27 ⋅ 23 = = 3 27 ⋅ 2 55 ( 3 3 − 23 ⏟ 4 ) = =3^{27} \cdot 2^{55} (\underbrace{3^3 - 23}_{4})= = 3 27 ⋅ 2 55 ( 4 3 3 − 23 ) = = 3 27 ⋅ 2 57 = ( 3 9 ) 3 ⋅ ( 2 19 ) 3 =3^{27} \cdot 2^{57} = (3^9)^3 \cdot (2^{19})^3 = 3 27 ⋅ 2 57 = ( 3 9 ) 3 ⋅ ( 2 19 ) 3