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a) (2x+y)3
c)(x2-y2)(x4+x2y2+y4)
d)-x3+9x2-27x+27
<=> -(x3-9x2+27x-27)
<=>-(x-3)3
a)\(2a^3+16=2\left(a^3+8\right)=2\left(a+2\right)\left(a^2-2a+4\right)\)
b)\(8x^3+27y^3+36x^2y+54xy^2=\left(2x\right)^3+\left(3y\right)^3+3.\left(2x\right)^2.3y+3.2x.\left(3y\right)^2\)
\(=\left(2x+3y\right)^2\)
c)\(x^4-2x^3-x^2+2x+1=\left(x^4-x^3-x^2\right)-\left(x^3-x^2-x\right)-\left(x^2-x-1\right)\)
\(=x^2\left(x^2-x-1\right)-x\left(x^2-x-1\right)-\left(x^2-x-1\right)\)
\(=\left(x^2-x-1\right)\left(x^2-x-1\right)=\left(x^2-x-1\right)^2\)
1. \(x^3+9x^2+27x+27=\left(x+3\right)^3\)
2.\(8x^6-27y^3=\left(2x\right)^3-\left(3y\right)^3=\left(2x-3y\right)\)
\(=\left(2x-3y\right)\left(8x^6+6xy+27y^3\right)\)
3.\(x^6-y^6=\left(x^3\right)^2-\left(y^3\right)^2=\left(x^3-y^3\right)\left(x^3+y^3\right)\)4.câu cuối là \(8b^3\)bạn nhé !!
tik mik nhé
a/ \(=3y^2-6y-2x+1\)
b/ \(=-\left(x^3-3x^2+3x-1\right)=-\left(x-1\right)^3\)
c/ \(=\left(2-x\right)^3\)
d/ \(=xy^2+x^2y+3xy+x^2y+x^3+3x^2-3xy-3x^2-9x\)
\(=xy\left(y+x+3\right)+x^2\left(y+x+3\right)-3x\left(y+x+3\right)\)
\(=\left(xy+x^2-3x\right)\left(y+x+3\right)=x\left(y+x-3\right)\left(y+x+3\right)\)
e/ \(=xy-x^2+2x-y^2+xy-2y\)
\(=x\left(y-x+2\right)-y\left(y-x+2\right)=\left(x-y\right)\left(y-x+2\right)\)
a) \(-x^3+9x^2-27x+27=-\left(x^3-3.3.x^2+3.3^2.x-3^3\right)=-\left(x-3\right)^3\)
b)\(x^4-2x^3-x^2+2x+1=x^4+\left(-x\right)^2+\left(-1\right)^2+2x^2\left(-x\right)+2.\left(-x\right).\left(-1\right)+2x^2.\left(-1\right)\)
\(=\left(x^2-x-1\right)^2\)
c)\(8x^3+27y^3+36x^2y+54xy^2=\left(2x\right)^3+3.\left(2x\right)^2.3y+3.2x.\left(3y\right)^2+\left(3y\right)^3\)
\(=\left(2x+3y\right)^2\)