Ответ:
1) 2
2) 13
3) -30
Объяснение:
1)
x=1.1;y=1.2
8x^3 - 12x^2y+ 6xy^2 -y^3 +12x^2-12xy+3y^2=
=(2x)^3 - 3×(2x)^2y+ 3×2xy^2 -y^3 +3(4x^2-4xy+y^2)=
=(2x-y)^3+3(2x-y)^2=
=(2.2-1.2)^3+3(2.2-1.2)^2=1+1=2
2)
m=-1/3
3(m-1)^2+(m+2)(m^2-2m+4)-(m+1)^3=
=3(m-1)^2+m^3+8- (m+1)^3=
=3(m^2-2m+1)+m^3+8-(m^3+3m^2+3m+1)=
=3m^2-6m+3+m^3+8-m^3-3m^2-3m-1=
=-9m+10=3+10=13
3)
a=-2
(a-1)^3-4a(a+1)(a-1)+3(a-1)(a^2+a+1)=
=a^3-3a^2 +3a-1-4a(a^2 -1) +3(a^3 -1)=
=a^3-3a^2 +3a-1-4a^3 +4a +3a^3 -3=
=-3a^2 +7a -4=-12-14-4=-30
см фото
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Answers & Comments
Ответ:
1) 2
2) 13
3) -30
Объяснение:
1)
x=1.1;y=1.2
8x^3 - 12x^2y+ 6xy^2 -y^3 +12x^2-12xy+3y^2=
=(2x)^3 - 3×(2x)^2y+ 3×2xy^2 -y^3 +3(4x^2-4xy+y^2)=
=(2x-y)^3+3(2x-y)^2=
=(2.2-1.2)^3+3(2.2-1.2)^2=1+1=2
2)
m=-1/3
3(m-1)^2+(m+2)(m^2-2m+4)-(m+1)^3=
=3(m-1)^2+m^3+8- (m+1)^3=
=3(m^2-2m+1)+m^3+8-(m^3+3m^2+3m+1)=
=3m^2-6m+3+m^3+8-m^3-3m^2-3m-1=
=-9m+10=3+10=13
3)
a=-2
(a-1)^3-4a(a+1)(a-1)+3(a-1)(a^2+a+1)=
=a^3-3a^2 +3a-1-4a(a^2 -1) +3(a^3 -1)=
=a^3-3a^2 +3a-1-4a^3 +4a +3a^3 -3=
=-3a^2 +7a -4=-12-14-4=-30
Ответ:
см фото
Объяснение: