Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a: \(=\dfrac{x^2-x+x+1+2x}{\left(x-1\right)\left(x+1\right)}=\dfrac{\left(x+1\right)^2}{\left(x-1\right)\left(x+1\right)}=\dfrac{x+1}{x-1}\)
b: \(=\dfrac{x^2+2x-4x-2x+4}{\left(x-2\right)\left(x+2\right)}=\dfrac{x^2-4x+4}{\left(x-2\right)\left(x+2\right)}=\dfrac{x-2}{x+2}\)
c: \(=\dfrac{2x^2-3x-9-x^2+3x+x^2+6x+9}{\left(x-3\right)\left(x+3\right)}\)
\(=\dfrac{2x^2+6x}{\left(x-3\right)\left(x+3\right)}=\dfrac{2x}{x-3}\)
d: \(\dfrac{x^4-2x^3+2x-1}{x^2-1}\)
\(=\dfrac{\left(x^2-1\right)\left(x^2+1\right)-2x\left(x^2-1\right)}{x^2-1}\)
\(=x^2-2x+1\)
\(=\left(x-1\right)^2\)
`a)(x-1)^2-(x-2)(x+2)`
`=x^2-2x+1-(x^2-4)`
`=-2x+5`
`b)(2x+4)(8x-3)(4x+1)^2`
`=(16x^2-6x+32x-12)(16x^2+8x+1)`
`=(16x^2-26x-12)(16x^2+8x+1)`
`=256x^4+128x^3+16x^2-416x^3-208x^2-26x-192x^2-96x-12`
`=256x^4-288x^3-384x^2-122x-12`
`c)(a+2)^3-a(a-3)^2`
`=a^3+6a^2+12a+8-a(a^2-6a+9)`
`=a^3+6a^2+12a+8-a^3+6a^2-9a`
`=12a^2+3a+8`
(x + 2)(x - 2) - (x - 2)(x + 5)
= (x - 2)(x + 2 - x - 5)
= (x - 2)-3
= -3x + 6
b) 2x(3x2y + 4x2y - 3)
= 2x(7x2y - 3)
= 14x3y - 6x