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\(1,=\left(x-3\right)\left(x+3\right)\\ 2,=\left(x-y\right)\left(5+a\right)\\ 3,=\left(x+3\right)^2\\ 4,=\left(x-y\right)\left(10x+7y\right)\\ 5,=5\left(x-3y\right)\\ 6,=\left(x-y\right)^2-z^2=\left(x-y-z\right)\left(x-y+z\right)\)
a. \(x^2-2xy+y^2-z^2=\\ \left(x^2-2xy+y^2\right)-z^2\\ =\left(x-y\right)^2-z^2=\left(x-y-z\right)\left(x-y+z\right)\)
b. \(x^2-6x+9-9y\\ =\left(x^2-6x\right)+\left(9-9y\right)\\ =x\left(x-6\right)+9\left(1-y\right)\)
1,
a, \(x^2-2xy+y^2-z^2=\left(x-y\right)^2-z^2\)
=\(\left(x-y-z\right)\left(x-y+z\right)\)
b, hình như sai đề phải ko bn?
Phải là: \(x^2-6x+9-9y^2\)=\(\left(x-3\right)^2-\left(3y\right)^2\)\(=\left(x-3y-3\right)(x+3y-3)\)
c,\(\left(x+y\right)\left(y+z\right)\left(x+z\right)+xyz\)
=\((x^2+xy+yz+xz)\left(z+y\right)+xyz\)
=\((x^2z+xyz+xz^2)+(x^2y+xy^2+xyz)+\)\(\left(yz^2+y^2z+xyz\right)\)
= xz(x + y + z) + xy(x + y + z) + yz(x + y +z)
=(x+y+z)(xz+xy+yz)
2,a,\(\left(x-2\right)\left(x+1\right)=0\)\(\Rightarrow\)\(\left[{}\begin{matrix}x-2=0\\x+1=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\)
b,Đề phải thế này nha:
\(5x\left(x-3\right)-x+3=0\)\(\Rightarrow\)(x - 3)(5x - 1)=0
\(\Rightarrow\)\(\left[{}\begin{matrix}x-3=0\\5x-1=0\end{matrix}\right.\)\(\Rightarrow\)\(\left[{}\begin{matrix}x=3\\x=\dfrac{1}{5}\end{matrix}\right.\)
Chúc các bn học tốt
a) \(x^2-3xy+x-3y=x\left(x-3y\right)+\left(x-3y\right)=\left(x-3y\right)\left(x+1\right)\)
b) \(x^2-6x-y^2+9=x^2-6x+9-y^2=\left(x-3\right)^2-y^2=\left(x-3-y\right)\left(x-3+y\right)\)
c) \(7x^3y-14x^2y+7xy=7xy\left(x^2-2x+1\right)=7xy\left(x-1\right)^2\)
\(x^2-3xy+x-3y=\left(x^2+x\right)-\left(3xy+3y\right)=x\left(x+1\right)-3y\left(x+1\right)=\left(x+1\right)\left(x-3y\right)\)
\(x^2-6x-y^2+9=\left(x^2-2.x.3+3^2\right)-y^2=\left(x-3\right)^2-y^2=\left(x-3-y\right)\left(x-3+y\right)\)
\(7x^3y-14x^2y+7xy=\left(7x^3y-7x^2y\right)-\left(7x^2y-7xy\right)=7x^2y.\left(x-1\right)-7xy.\left(x-1\right)\)
\(=\left(x-1\right).\left(7x^2y-7xy\right)=7xy.\left(x-1\right).\left(x-1\right)=7xy.\left(x-1\right)^2\)
`Answer:`
`m-3xyz+5x^2-7xy+9=6x^2+xyz+2xy+3-y^2`
`<=>m=(6x^2+xyz+2xy+3-y^2)+(3xyz-5x^2+7xy-9)`
`<=>(xyz+3xyz)+(6x^2-5x^2)+(2xy+7xy)-y^2+(3-9)`
`<=>m=4xyz+x^2+9xy-y^2-6`