Преобразуйте в многочлен:
а) ( − 3 a + 10 b ) 2 ; {\displaystyle (-3a+10b)^{2};} б) ( − 6 m − n ) 2 ; {\displaystyle (-6m-n)^{2};} в) ( 8 x − 0 , 3 y ) 2 ; {\displaystyle (8x-0,3y)^{2};} г) ( 5 a + 1 15 b ) 2 ; {\displaystyle \left(5a+{\frac {1}{15}}b\right)^{2};} д) ( − 0 , 2 p − 10 q ) 2 ; {\displaystyle (-0,2p-10q)^{2};} е) ( 0 , 8 x − 0 , 1 y ) 2 ; {\displaystyle (0,8x-0,1y)^{2};}
а) ( − 3 a + 10 b ) 2 = ( 3 a − 10 b ) 2 = 9 a 2 − 60 a b + 100 b 2 ; {\displaystyle (-3a+10b)^{2}=(3a-10b)^{2}=9a^{2}-60ab+100b^{2};} б) ( − 6 m − n ) 2 = ( 6 m + n ) 2 = 36 m 2 + 12 m n + n 2 ; {\displaystyle (-6m-n)^{2}=(6m+n)^{2}=36m^{2}+12mn+n^{2};} в) ( 8 x − 0 , 3 y ) 2 = 64 x 2 − 4 , 8 x y + 0 , 09 y 2 ; {\displaystyle (8x-0,3y)^{2}=64x^{2}-4,8xy+0,09y^{2};} г) ( 5 a + 1 15 b ) 2 = 25 a 2 + 2 3 a b + 1 255 b 2 ; {\displaystyle \left(5a+{\frac {1}{15}}b\right)^{2}=25a^{2}+{\frac {2}{3}}ab+{\frac {1}{255}}b^{2};} д) ( − 0 , 2 p − 10 q ) 2 = ( 0 , 2 p + 10 q ) 2 = 0 , 04 p 2 + 4 p q + 100 q 2 ; {\displaystyle (-0,2p-10q)^{2}=(0,2p+10q)^{2}=0,04p^{2}+4pq+100q^{2};} е) ( 0 , 8 x − 0 , 1 y ) 2 = 0 , 64 x 2 − 8 , 16 x y + 0 , 01 y 2 {\displaystyle (0,8x-0,1y)^{2}=0,64x^{2}-8,16xy+0,01y^{2}}