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a, \(A=\left(x-1\right)\left(x^2+x+1\right)-\left(x+1\right)\left(x^2-x+1\right)=x^3-1-x^3-1=-2\)
b, \(B=2x\left(4x+1\right)-8x^2\left(x+1\right)+\left(2x\right)^3-2x+3\)
\(=8x^2+2x-8x^3-8x^2+8x^3-2x+3=3\)
c, \(C=\left(x-1\right)^3+\left(x+1\right)^3+2x\left(x+2\right)\left(x-2\right)\)
\(=\left(x-1+x+1\right)^3-3\left(x-1\right)\left(x+1\right)\left(x-1+x+1\right)+2x\left(x^2-4\right)\)
\(=8x^3-6x\left(x^2-1\right)+2x^3-8x=8x^3-6x^3+6x+2x^3-8x=4x^3-2\)
d, \(D=\left(x+y-5\right)^2-2\left(x+y-5\right)\left(x+3\right)+x^2+6x+9\)
\(=\left(x+y-5-x-3\right)^2=\left(y-8\right)^2=y^2-16x+64\)


5 . chu vi hình thang là 4x7=28 (ABG)
6.(25+10) x24:2 = 79
7 a hình thang
b . chu vi tứ giác là 15x9=135


(20^2+18^2+16^2+.........+4^2+2^2)-(19^2+17^2+15^2+.........+3^2+1^2)
=(20+18+16+..+4+2)^2-(19+17+15+...+3+1)^2
=100^2-100^2
=0

\(d,\left(x-20\right)\left(x^2+2x+4\right)-x^2\left(x+1\right)=-17\)
\(x^3+2x^2+4x-20x^2-40x-80-x^3-x^2=-17\)
\(-19x^2-36x-63=0\)
\(\Delta=\left(-36\right)^2-\left(-63.-19.4\right)=-3492< 0\)
pt vô nghiệm

Trả lời:
( x - 3 ) ( x2 + 3x + 9 ) - ( x2 - 27x )
= x3 - 27 - x2 + 27x
= x3 - x2 + 27x - 27

1.\(13.87+13.12+13\)
\(=13\left(87+12+1\right)\)
\(=13.100=1300\)
2.Đề sai à ???
3.\(x\left(x+4\right)-x\left(x-6\right)\)
\(=x^2+4x-x^2+6x\)
\(=10x\)
\(=10.123=1230\)
1, \(13.87+13.12+13=13\left(87+12+1\right)=13.100=1300\)
2, bổ sung \(\left(x-3\right)2x+\left(x-3\right)y=\left(x-3\right)\left(2x+y\right)\)
Thay x = 13 ; y = 4 ta được : \(\left(13-3\right)\left(26+4\right)=10.30=300\)
3, \(x\left(x+4\right)-x\left(x-6\right)=x\left(x+4-x+6\right)=10x\)
Thay x = 123 ta được \(1230\)
a)
=25
b)
=1
HT
a, \(\left(x-y\right)^2=\left(x+y\right)^2-4xy\)
\(\Rightarrow49-48=1\)
b, \(3\left(x^2+y^2\right)-2\left(x^3+y^3\right)=3\left[\left(x+y\right)^2-2xy\right]-2\left[\left(x+y\right)\left(x^2-xy+y^2\right)\right]\)
\(=3\left[\left(x+y\right)^2-2xy\right]-2\left(x+y\right)\left[\left(x+y\right)^2-3xy\right]\)
Thiếu xy nhé