\(8-36x+54x^2-27x^3=0\)

\(=2^3-3.2^2.3x+3.9x^2.2-3x^3\)

\(=2-3x^3=0\)

\(\Rightarrow2-3x=0\Rightarrow x=\frac{2}{3}\)

=2^3-3.2^2.3x+3.9x^2.2-(3x)^3

=(2-3x)^3=0

2-3x=0=>x=2/3

dung roi do 2 phan 3

Bài 2: 

a: \(A=a^2+b^2+c^2+2ab-2ac-2bc+a^2+b^2+c^2-2ab-2bc+2ac\)

\(=2a^2+2b^2+2c^2-4bc\)

\(=2+2\cdot9+2\cdot1-4\cdot3\cdot\left(-1\right)=22+12=34\)

b: \(B=\left(a+b-a+b\right)\left(a+b+a-b\right)=4ab=4\cdot2\cdot5=40\)

\(x^2+x+\dfrac{1}{4}=\left(x+\dfrac{1}{4}\right)^2\)

\(8x^3+27=\left(2x+3\right)\left(4x^2-6x+9\right)\)

\(-x^3+3x^2-3x+1=\left(-x+1\right)^3\)

a, A = 27x³ + 54x² + 36x + 4

=> A = (3x)³ + 2 . 3 . 9x² + 3 . 3x . 4 + 8 - 4

=> A = [(3x)³ + 2 . 3 . (3x)² + 3 . 3x . 2² + 2³] - 4

=> A = (3x + 2)³ - 4

Thay x = -2002 vào A ta có: A = (3x + 2)³ - 4 

=> A = [3 x (-2002) + 2]³ - 4 = [6006 + 2]³ - 4 = 6008³ - 4

b, B = 2x² + 4x + xy + 2y

=> B = 2x(x + 2) + y(x + 2)

=> B = (x + 2)(2x + y)

Thay x = 88; y = -76 vào B

=> B = (88 + 2)[2 . 88 + (-76)]

=> B = 90 . [176 + (-76)] = 90 . 100 = 9000

\(A=27x^3-54x^2+36x-8+15\)

\(=\left(3x-2\right)^3+15\)

Thay x = 12 vào A ta đc:

\(A=\left(3.12-2\right)^3+15\)

\(=34^3+15\)

\(=39319\)

Vậy A =39319 tại x =12

=.= hok tốt!!

\(a,M=27x^3+108x^2+144x+64=\left(3x+4\right)^2\)Tại \(x=32\Rightarrow M=\left(3.32+4\right)^3=100^3=1000000\)

\(b,N=27x^3-54x^2+36x-8=\left(3x-2\right)^3\)

Tại \(x=14\Rightarrow N=\left(3.14-2\right)^3=40^3=64000\)