Преобразуйте в многочлен:
а) ( a 2 − 3 a ) 2 ; {\displaystyle \left(a^{2}-3a\right)^{2};} б) ( 1 2 x 3 + 6 x ) 2 ; {\displaystyle \left({\frac {1}{2}}x^{3}+6x\right)^{2};} в) ( c 2 − 0 , 7 c 3 ) 2 ; {\displaystyle \left(c^{2}-0,7c^{3}\right)^{2};} г) ( 4 y 3 − 0 , 5 y 2 ) 2 ; {\displaystyle \left(4y^{3}-0,5y^{2}\right)^{2};} д) ( 1 1 2 a 5 + 8 a 2 ) 2 ; {\displaystyle \left(1{\frac {1}{2}}a^{5}+8a^{2}\right)^{2};} е) ( 0 , 6 b − 60 b 2 ) 2 {\displaystyle \left(0,6b-60b^{2}\right)^{2}}
а) ( a 2 − 3 a ) 2 = a 4 − 6 a 3 + 9 a 2 ; {\displaystyle \left(a^{2}-3a\right)^{2}=a^{4}-6a^{3}+9a^{2};} б) ( 1 2 x 3 + 6 x ) 2 = 1 4 x 6 + 6 x 4 + 36 x 2 ; {\displaystyle \left({\frac {1}{2}}x^{3}+6x\right)^{2}={\frac {1}{4}}x^{6}+6x^{4}+36x^{2};} в) ( c 2 − 0 , 7 c 3 ) 2 = c 4 − 1 , 4 c 5 + 0 , 49 c 6 ; {\displaystyle \left(c^{2}-0,7c^{3}\right)^{2}=c^{4}-1,4c^{5}+0,49c^{6};} г) ( 4 y 3 − 0 , 5 y 2 ) 2 = 16 y 6 − 4 y 5 + 0 , 25 y 4 ; {\displaystyle \left(4y^{3}-0,5y^{2}\right)^{2}=16y^{6}-4y^{5}+0,25y^{4};} д) ( 1 1 2 a 5 + 8 a 2 ) 2 = ( 3 2 a 5 + 2 a 2 ) 2 = 9 4 a 10 + 24 a 7 + 64 a 4 ; {\displaystyle \left(1{\frac {1}{2}}a^{5}+8a^{2}\right)^{2}=\left({\frac {3}{2}}a^{5}+2a^{2}\right)^{2}={\frac {9}{4}}a^{10}+24a^{7}+64a^{4};} е) ( 0 , 6 b − 60 b 2 ) 2 = ( 0 , 6 b − 60 b 2 ) 2 = 0 , 36 b 2 − 72 b 3 + 3600 b 4 {\displaystyle \left(0,6b-60b^{2}\right)^{2}=\left(0,6b-60b^{2}\right)^{2}=0,36b^{2}-72b^{3}+3600b^{4}}