Поменяйте ступень творением, а затем произведение преобразуйте в многочлен

(a+5) = (a+5)*(a+5) = a + 5a +5a + 25 = a + 10a + 25

(4-3b) = (4-3b)*(4-3b) = 16 -12b - 12b +9b = 16 -24b +9b

(a+b+c) = (a+b+c)*(a+b+c) = a + ab + ac + ab + b + bc + ac + bc + c =

= a + b + c + 2ab + 2ac + 2bc

(a-b) = (a-b)*(a-b)*(a-b) = (a - 2ab + b)*(a - b) =

= a - ab - 2ab + 2ab + ab - b = a - 3ab + 3ab - b

( a + 5 ) 2 = ( a + 5 ) ( a + 5 ) = a 2 +5 a + 5 a + 25 = a 2+ 10 a + 25

( 4 3 b ) 2 = ( 4 3 b )( 4 3 b)= 16 12 b 12 b + 9 b 2 = 9 b 2 24b + 16

( a + b+ c ) 2 = ( a + b + c ) ( a + b + c) = a 2 + a b + a c + a b + b 2 + b c + a c + b c + c 2 = a 2 +b 2 + c 2 + ( a b + a )+ ( a c + a c ) + ( b c + b c ) = a 2 + b 2 + c 2 + 2 a b + 2 a c +2 b c

( a b )3 =(a b ) ( a b ) ( a b ) = ( a 2 a b a b + b 2 ) ( a b ) = ( a 2 2 a b + b 2 ) ( a b ) = a 3 2 a 2 b + a b 2 a 2 b + 2 a b 2 b 3 = a 3 + ( 2 a 2 b a 2 b ) + ( a b 2+ 2a b 2 ) b 3 = a 3 3 a 2 b + 3 a b 2 b 3