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\(a,=8\left(x^3-125\right)=8\left(x-5\right)\left(x^2+5x+25\right)\\ b,=\left(0,1+4x\right)\left(0,01-0,4x+16x^2\right)\\ c,=\left(x+\dfrac{1}{5}y\right)\left(x^2-\dfrac{1}{5}xy+\dfrac{1}{25}y^2\right)\\ d,=\left(3x-\dfrac{1}{2}y\right)\left(9x^2+\dfrac{3}{2}xy+\dfrac{1}{4}y^2\right)\\ e,=\left(x-1+3\right)\left[\left(x-1\right)^2-3\left(x-1\right)+9\right]\\ =\left(x+2\right)\left(x^2-2x+1-3x+3+9\right)\\ =\left(x+2\right)\left(x^2-5x+13\right)\\ f,=\left(\dfrac{x^2}{2}-y^2\right)\left(\dfrac{x^4}{4}+\dfrac{x^2y^2}{2}+y^4\right)\)
a: \(x^3+8=\left(x+2\right)\left(x^2-2x+4\right)\)
b: \(27-8y^3=\left(3-2y\right)\left(9+6y+4y^2\right)\)
c: \(y^6+1=\left(y^2+1\right)\left(y^4-y^2+1\right)\)
d: \(64x^3-\dfrac{1}{8}y^3=\left(4x-\dfrac{1}{2}y\right)\left(16x^2+2xy+\dfrac{1}{4}y^2\right)\)
a, \(x^3+8=x^3+2x^2-2x^2-4x+4x+8\)
\(=x^2.\left(x+2\right)-2x.\left(x+2\right)+4.\left(x+2\right)\)
\(=\left(x+2\right).\left(x^2-2x+4\right)\)
a) (x+2) \(\left(x^2-2x+4\right)\)
b) (3 - 2y) \(\left(9+6y+4y^2\right)\)
d) (4x - y) \(\left(16x^2+4xy+y^2\right)\)
bạn giải chi tiết hộ mình với nha.
mk sắp phải nộp bài r. huhuhuhu
a: \(64x^3-27y^3=\left(4x-3y\right)\left(16x^2+12xy+9y^2\right)\)
c: \(125-\left(x+1\right)^3\)
\(=\left(5-x-1\right)\left(25+5x+5+x^2+2x+1\right)\)
\(=\left(4-x\right)\left(x^2+7x+31\right)\)
a) \(64x^3-27y^3=\left(4x\right)^3-\left(3y\right)^3=\left(4x-3y\right)\left(16x^2+12xy+9y^2\right)\)
\(b)\) \(27x^3+\dfrac{y^3}{8}=\left(3x\right)^3+\left(\dfrac{y}{2}\right)^3\)
\(=\left(3x+\dfrac{y}{2}\right)\left(9x^2-\dfrac{3}{2}xy+\dfrac{1}{4}y^2\right)\)
\(c)\) \(125-\left(x+1\right)^3=5^3-\left(x+1\right)^3=\left(5-x-1\right)\left(25+5\left(x+1\right)+\left(x+1\right)^2\right)\)
\(=\left(4-x\right)\left(x^2+7x+31\right)\)
a) \(64x^3-\dfrac{1}{8}y^3=\left(4x-\dfrac{1}{2}y\right)\left(16x^2+2xy+\dfrac{1}{4}y^2\right)\)
b) \(125x^6-27x^9=\left(5x^2-3x^3\right)\left(25x^4+15x^5+9x^6\right)\)
c) \(-\dfrac{x^6}{125}-\dfrac{y^3}{64}=-\left(\dfrac{x^6}{125}+\dfrac{y^3}{64}\right)=-\left(\dfrac{x^2}{5}+\dfrac{y}{4}\right)\left(\dfrac{x^4}{25}-\dfrac{x^2y}{20}+\dfrac{y^2}{16}\right)\)