(x-2)(2x+1)+x(1-2x)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
1: \(=6x^2+2x-15x-5-x^2+6x-9+4x^2+20x+25-27x^3-27x^2-9x-1\)
=-27x^3-18x^2+4x+10
2: =4x^2-1-6x^2-9x+4x+6-x^3+3x^2-3x+1+8x^3+36x^2+54x+27
=7x^3+37x^2+46x+33
5:
\(=25x^2-1-x^3-27-4x^2-16x-16-9x^2+24x-16+\left(2x-5\right)^3\)
\(=8x^3-60x^2+150-125+12x^2-x^3+8x-60\)
=7x^3-48x^2+8x-35
1) `2x(3x-1)-(2x+1)(x-3)`
`=6x^2-2x-2x^2+6x-x+3`
`=4x^2+3x+3`
2) `3(x^2-3x)-(4x+2)(x-1)`
`=3x^2-9x-4x^2+4x-2x+2`
`=-x^2-7x+2`
3) `3x(x-5)-(x-2)^2-(2x+3)(2x-3)`
`=3x^2-15x-(x^2-4x+4)-(4x^2-9)`
`=3x^2-15x-x^2+4x-4-4x^2+9`
`=-2x^2-11x+5`
4) `(2x-3)^2+(2x-1)(x+4)`
`=4x^2-12x+9+2x^2+8x-x-4`
`=6x^2-5x+5`
1: \(x\left(3x-1\right)-2x\left(x-1\right)-\left(x-2\right)^2\)
\(=3x^2-x-2x^2+2x-\left(x^2-4x+4\right)\)
\(=x^2+x-x^2+4x-4=5x-4\)
2: \(x\left(2+x\right)-\left(x-1\right)\left(3-x\right)-\left(3-x\right)^2\)
\(=x^2+2x+\left(x-1\right)\left(x-3\right)-\left(x-3\right)^2\)
\(=x^2+2x+\left(x-3\right)\left(x-1-x+3\right)=x^2+2x+2\left(x-3\right)\)
\(=x^2+4x-6\)
3: \(\left(2x-1\right)^2-2\left(2x-1\right)\left(2x-3\right)+\left(3-2x\right)^2\)
\(=\left(2x-1\right)^2-2\left(2x-1\right)\left(2x-3\right)+\left(2x-3\right)^2\)
\(=\left(2x-1-2x+3\right)^2=2^2=4\)
a; Đặt \(A=\left(2x+3\right)\left(2x-3\right)-\left(2x+1\right)^2\)
\(=4x^2-9-4x^2-4x-1\)
=-4x-10
Khi x=1/2 thì \(A=-4\cdot\frac12-10=-2-10=-12\)
b: Đặt \(B=\left(x-2\right)^2-\left(x-1\right)\left(x+1\right)-x\left(1-x\right)\)
\(=x^2-4x+4-\left(x^2-1\right)-x+x^2\)
\(=2x^2-5x+4-x^2+1=x^2-5x+5\)
Khi x=5 thì \(B=5^2-5\cdot5+5=5\)
c: Sửa đề: \(C=\left(2x-1\right)^2+\left(x+1\right)^2+2\left(2x-1\right)\left(x+1\right)\)
\(=\left(2x-1\right)^2+2\cdot\left(2x-1\right)\left(x+1\right)+\left(x+1\right)^2\)
\(=\left(2x-1+x+1\right)^2=\left(3x\right)^2=9x^2\)
Khi x=-2 thì \(C=9\cdot\left(-2\right)^2=9\cdot4=36\)
d:Đặt D=\(\left(2x-1\right)^2-2\left(2x+3\right)\left(2x+5\right)+\left(2x+5\right)^2\)
\(=4x^2-4x+1-2\left(4x^2+10x+6x+15\right)+4x^2+20x+25\)
\(=8x^2+16x+26-8x^2-32x-30=-16x-4\)
Khi x=2022 thì \(D=-16\cdot2022-4=-32356\)
a: \(=\left(\dfrac{-\left(x+2\right)}{x-2}-\dfrac{4x^2}{\left(x-2\right)\left(x+2\right)}+\dfrac{x-2}{x+2}\right)\cdot\dfrac{2x^2-x^3}{x^2-3x}\)
\(=\dfrac{-x^2-4x-4-4x^2+x^2-4x+4}{\left(x-2\right)\left(x+2\right)}\cdot\dfrac{x^2\left(2-x\right)}{x\left(x-3\right)}\)
\(=\dfrac{-4x^2-8x}{x+2}\cdot\dfrac{-x}{x-3}\)
\(=\dfrac{-4x\left(x+2\right)}{x+2}\cdot\dfrac{-x}{x-3}=\dfrac{4x^2}{x-3}\)
b: \(=\dfrac{2x-1}{2x+1}:\left(2x-1+\dfrac{2-4x}{2x+1}\right)\)
\(=\dfrac{2x-1}{2x+1}:\dfrac{4x^2-1+2-4x}{2x+1}\)
\(=\dfrac{2x-1}{4x^2-4x+1}=\dfrac{1}{2x-1}\)
c: \(=\left(\dfrac{1}{1-x}-1\right):\left(x+1-\dfrac{2x-1}{x-1}\right)\)
\(=\dfrac{1-1+x}{1-x}:\dfrac{x^2-1-2x+1}{x-1}\)
\(=\dfrac{-x}{x-1}\cdot\dfrac{x-1}{x\left(x-2\right)}=\dfrac{-1}{x-2}\)
(x-2)(2x+1)+x(1-2x)
= 2x^2 - 4x + x - 2 + x - 2x^2
= -2x - 2