Преобразуйте выражение в многочлен стандартного вида: б) 2(a-1)²+3(a-2)² г) 4(m-2n)²-3(3m+n)² е) 4(3x+4y)²-7(2x-3y)² з) 5(n-5m)²-6(2n-3m)²-(3m-n) (7m-n)

Б)2(а-1)^2 + 3(а-2)^2= 2(a^2 - 2a + 1) +3(a^2 - 4a + 4)= 2a^2-4a+2+3a^2-12a+12= 5a^2 + 8a +14
г)4(m-2n)^2-3(3m+n)^2 = 4(m^2 - 4mn + 4n^2) - 3(9m^2 + 6mn + n^2) = 4m^2 - 16mn + 16n^2 - 27m^2 - 18mn - 3n^2 = -23m^2 - 34mn + 13n^2
е)4(3x + 4y)^2 - 7(2x - 3y)^2 = 4(9x^2 + 24xy + 16y^2) - 7(4x^2 - 12xy + 9y^2) = 36x^2 + 96xy + 64y^2 - 28x^2 + 84xy - 63y^2 = 8x^2 + 180xy + y^2
з)5(n^2 - 10mn + 25m^2) - 6(4n^2 -12mn + 9m^2) - (21m^2 - 3mn - 7mn +n^2) = 5n^2 - 50mn +125m^2 - 24n^2 + 72mn - 54m^2 -21m^2 + 10mn - n^2 = -20n^2 32mn + 50m^2

Б)=2(а^2-2а+1)+3(а^2-4а+4)=
=2а^2-4а+2+3а^2-12а+12=5а^2-16а+14

г)=4(m^2-4mn+4n^2)-3(9m^2+6mn+n^2)=
=4m^2-16mn+16n^2-27m^2-18mn-3n^2=
=13n^2-23m^2-34mn

е)=4(9х^2+24ху+16у^2)-7(4х^2-12ху+9у^2)=
=36х^2+96ху+64у^2-28х^2+84ху-63у^2=
=8х^2+180ху+у^2

з)=5(n^2-10mn+25m^2)-6(4n^2-12mn+9m^2) -(21m^2-3mn-7mn+n^2)=5n^2-50mn+125m^2-24n^2+72mn-54m^2-21m^2+10mn-n^2=
=-20n^2+32mn+50m^2

^это знак степени