\(\left(x-1\right)\left(x+1\right)-x\left(x+3\right)\)
\(=\left(x^2-1\right)-\left(x^2+3x\right)\)
\(=x^2-1-x^2-3x\)
\(=\left(x^2-x^2\right)-3x-1\)
\(=-3x-1\)
`!`
`(x-1)(x+1)-x(x+3)`
`= x^2+x-x-1-(x^2+3x)`
`= x^2 -1-x^2+3x`
`= 3x-1`
\(\left(x-1\right)\left(x+1\right)-x\left(x+3\right)\)
\(=\left(x^2-1\right)-\left(x^2+3x\right)\)
\(=x^2-1-x^2-3x\)
\(=\left(x^2-x^2\right)-3x-1\)
\(=-3x-1\)
`!`
`(x-1)(x+1)-x(x+3)`
`= x^2+x-x-1-(x^2+3x)`
`= x^2 -1-x^2+3x`
`= 3x-1`
\(\left(x^2_{ }+1\right)\left(x-3\right)-\left(x-3\right)\left(x^2-1\right)\)
rút gọn biểu thức
Rút gọn:
\(\left(x+1\right)^3-\left(x-1\right)^3-6\left(x-1\right)\left(x+1\right)\)
\(x\left(x-1\right)\left(x+1\right)-\left(x+1\right)\left(x^2-x+1\right)\)
Rút gọn các biểu thức sau:
a/ \(\left(x-2y^{ }\right)^2+\left(x-\dfrac{1}{2}y\right)\left(x+\dfrac{1}{2}y\right)\)
b/ \(\left(x-2\right)^2+\left(x+3\right)^2-2\left(x-1\right)\left(x+1\right)\)
Rút gọn
a) \(\left(x+2y\right)^2+4y\)
b) \(\left(2x-3\right)\left(2x+3\right)-4x^2\)
c)\(\left(3x+1\right)^2-\left(x+1\right)\left(x-1\right)\)
Rút gọn \(\frac{1}{\left(x+1\right)\left(x+2\right)}+\frac{1}{\left(x+2\right)\left(x+3\right)}+\frac{1}{\left(x+3\right)\left(x+4\right)}+\frac{1}{\left(x+4\right)\left(x+5\right)}\)
rút gọn biểu thức
a) \(x\left(2x^2-3\right)-x^2\left(5x+1\right)+x^2\)
b) \(3x\left(x-2\right)-5x\left(1-x\right)-8\left(x^2-3\right)\)
Rút gọn phân thức
\(\frac{1}{x\left(x-1\right)}+\frac{1}{\left(x-1\right)\left(x-2\right)}+\frac{1}{\left(x-2\right)\left(x-3\right)}+..+\frac{1}{\left(x-4\right)\left(x-5\right)}\)
Rút gọn
\(\left(x+y+1\right)^3-\left(x+y-1\right)^3-6\left(x+y\right)^2\)
Rút gọn biểu thức
\(\left(x+1\right)^3+\left(x-1\right)^3+x^3-3x\left(x+1\right)\left(x-1\right)\)