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\(=\left(x-y\right)\left(x+y\right)-5\left(x-y\right)=\left(x-y\right)\left(x+y-5\right)\)
\(=\left(x-y\right)\left(x+y\right)-5\left(x-y\right)=\left(x+y-5\right)\left(x-y\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(=\left(x-y\right)\left(x+y\right)+5\left(x-y\right)\)
\(=\left(x+y+5\right)\left(x-y\right)\)
Học tốt
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\(5x^2+3\left(x+y\right)-5y^2=5\left(x+y\right)\left(x-y\right)+3\left(x+y\right)=\left(x+y\right)\left[5\left(x-y\right)+3\right]\)
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Câu 1 đề sai rồi bạn ơi
Câu 2/ 5(x2 + 2xy + y2 ) = 5(x +y )2
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a: =x^2(x^2+2x+1)
=x^2(x+1)^2
b: =x^3+3x^2y+3xy^2+y^3-x-y
=(x+y)^3-(x+y)
=(x+y)[(x+y)^2-1]
=(x+y)(x+y-1)(x+y+1)
c: =5(x^2-2xy+y^2-4z^2)
=5(x-y-2z)(x-y+2z)
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a, \(\left(3x-6y\right)x+y\left(x-2y\right)=\left(3x+y\right)\left(x-2y\right)\)
b, \(3\left(x-y\right)-5x\left(y-x\right)=\left(3+5x\right)\left(x-y\right)\)
c, \(\dfrac{2}{5}x\left(y-1\right)+\dfrac{2}{5}y\left(1-y\right)=\left(\dfrac{2}{5}x-\dfrac{2}{5}y\right)\left(y-1\right)=\dfrac{2}{5}\left(x-y\right)\left(y-1\right)\)
d, \(x\left(x-1\right)-y\left(1-x\right)=\left(x+y\right)\left(x-1\right)\)
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\(x^2-y^2-5x+5y=\left(x^2-y^2\right)-\left(5x-5y\right)\)
\(=\left(x+y\right)\left(x-y\right)-5\cdot\left(x-y\right)\)
\(=\left(x-y\right)\cdot\left[\left(x+y\right)-5\right]=\left(x-y\right)\cdot\left(x+y-5\right)\)
\(x^2-5x+5y-y^2\\ =\left(-5x+5y\right)+\left(x^2-y^2\right)\\ -5\left(x-y\right)+\left(x+y\right)\left(x-y\right)\\ =\left(x-y\right)\left(x+y-5\right)\)