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1) [tex]4t(4t-1)^{2}-(4t-1)^{3}[/tex]

2) [tex]8y^{3}-26y^{2}-13y+1[/tex]

3) [tex]16v^{2}-20v+35t-49t^{2}[/tex]

4) [tex]18a^{2}-9a-15b-50b^{2}[/tex]

5) [tex](x^{3}-27)^{2}-81x^{2}(x-3)^{2}[/tex]

6) [tex](7-2x)^{3}+3(7-2x)^{2}(2x+3)+3(7-2x)(2x+3)^{2}+(2x+3)^{3}[/tex]

1) 4*t*(4*t-1)²-(4*t-1)³ =(4*t-(4*t-1))*(4*t-1)²=(4*t-1)²

2) 8*y³-26*y²-13*y+1=(8*y³+1)-(26*y²+13*y)=(2*y+1)8(4*y²-2*y+1)-13*y*(2*y+1)= (2*y+1)*(4*y²-15*y+1)

3) 16*v²-20*v+35*t - 49*t²=(16*v²-49*t²)-(20*v-35*t)=(4*t-7*v)*(4*t+7*v)-5*(4*t-7*v)=(4*v-7*t)*(4*t+7*v-5)

4) 18*a²-9*a-15*b-50*b²=(18*a²-50*b²)-(9*a+15*b)=2*(3*a-5*b)*(3*a+5*b)-3*(3*a+5*b)=(3*a+5*b)*(6*a-10*b-3)

5) (x³-27)²-81*x²*(x-3)²=(x-3)²*(x²+3*x+9)²-(9*x)²*(x-3)²=(x-3)²(x²+3*x+9-9*x)*(x²+3*x+9+9*x)=(x-3)²*(x²-6*x+9)*(x²+12x+9)=(x-3)⁴*(x²+12*x+9)

6)  (7-2*x)³+3*(7-2*x)²*(2*x+3)+3*(7-2*x)*(2*x+3)²+(2*x+3)³=(7-2*x+2*x+3)³=10³= 1000

Первое.*t*(4*t-1)²-(4*t-1)³ =(4*t-(4*t-1))*(4*t-1)²=(4*t-1)²

Второе.8*y³-26*y²-13*y+1=(8*y³+1)-(26*y²+13*y)=(2*y+1)8(4*y²-2*y+1)-13*y*(2*y+1)= (2*y+1)*(4*y²-15*y+1)

Третье.16*v²-20*v+35*t - 49*t²=(16*v²-49*t²)-(20*v-35*t)=(4*t-7*v)*(4*t+7*v)-5*(4*t-7*v)=(4*v-7*t)*(4*t+7*v-5)

Четвертое.18*a²-9*a-15*b-50*b²=(18*a²-50*b²)-(9*a+15*b)=2*(3*a-5*b)*(3*a+5*b)-3*(3*a+5*b)=(3*a+5*b)*(6*a-10*b-3)

Пятое действие.(x³-27)²-81*x²*(x-3)²=(x-3)²*(x²+3*x+9)²-(9*x)²*(x-3)²=(x-3)²(x²+3*x+9-9*x)*(x²+3*x+9+9*x)=(x-3)²*(x²-6*x+9)*(x²+12x+9)=(x-3)⁴*(x²+12*x+9)

Шестое.7-2*x)³+3*(7-2*x)²*(2*x+3)+3*(7-2*x)*(2*x+3)²+(2*x+3)³=(7-2*x+2*x+3)³=10³= 1000

Ответ:1000