Làm hộ mk bài8 với ạ có 2 phần
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Bài 8:
a: \(x^3+9x^2+27x+27=\left(x+3\right)^3\)
c: \(8-12x+6x^2-x^3=\left(2-x\right)^3\)
Bài 8:
a: Ta có: \(A=\left(\dfrac{x-2}{x^2-1}-\dfrac{x+2}{x^2+2x+1}\right)\cdot\dfrac{x^4-2x^2+1}{2}\)
\(=\dfrac{\left(x-2\right)\left(x+1\right)-\left(x+2\right)\left(x-1\right)}{\left(x+1\right)^2\cdot\left(x-1\right)}\cdot\dfrac{\left(x-1\right)^2\cdot\left(x+1\right)^2}{2}\)
\(=\dfrac{x^2-x-2-x^2-x-2}{1}\cdot\dfrac{x-1}{2}\)
\(=\dfrac{-2x\cdot\left(x-1\right)}{2}=-x\left(x-1\right)\)
Bài 8:
a) \(A=\left(\dfrac{x-2}{x^2-1}-\dfrac{x+2}{x^2+2x+1}\right).\dfrac{x^4-2x^2+1}{2}\left(đk:x\ne1,x\ne-1\right)\)
\(=\dfrac{\left(x-2\right)\left(x+1\right)-\left(x+2\right)\left(x-1\right)}{\left(x-1\right)\left(x+1\right)^2}.\dfrac{\left(x^2-1\right)^2}{2}=\dfrac{x^2-x-2-x^2-x+2}{\left(x-1\right)\left(x+1\right)^2}.\dfrac{\left(x-1\right)^2\left(x+1\right)^2}{2}=\dfrac{-2x\left(x-1\right)}{2}=-x^2+x\)
b) \(x^2-3x+2=0\Leftrightarrow\left(x-1\right)\left(x-2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)\(\Leftrightarrow x=2\)(do đkxđ của A là \(x\ne1\))
\(A=-x^2+x=-2^2+2=-2\)
c) Do \(A=-x^2+x\in Z\forall x\in Z\)
\(\Rightarrow A\in Z\Leftrightarrow x\in Z\)
I. Write sentences with the cues given
1. Mai / usually / listen / K - pop music / free time.
→ Mai usually listens to K-pop music in her free time.
2. when / I / be / a child / I / enjoy / play / computer games
→ When I was a child, I enjoyed playing computer games.
3. my father / spend / most / spare time / look after / the garden
→ My father spends most of his spare time looking after the garden.
4. watching TV / most / popular / leisure activity / Britain ?
→ Is watching TV the most popular leisure activity in Britain?
5. many teenagers / addicted / the Internet / computer games
→ Many teenagers are addicted to the Internet and computer games.
6. she / get / hooked / the medical drama / after / watch / the first people
→ She got hooked on the medical drama after watching the first episode.
7. most / my friends / prefer / play sports / to / surf the net
→ Most of my friends prefer to play sports rather than surf the net.
8. today's world / teenagers / rely / technology / more / the past
→ In today's world, teenagers rely on technology more than in the past
II. Write the second sentences so that it has a similar meaning to the first one
1. It takes us more than two hours to see the film " Avatar "
→ The film " Avatar " requires more than two hours of our time to watch.
2. She likes to hang out with friends on Saturday evening
→ She's interested in socializing with friends on Saturday evening
8 How much do these apples cost?
9 THis is a blue car
11 Are there 40 classrooms in Phong's school?
13 How wide if the Great wall
a) \(n_{MgCO_3}=\dfrac{33,6}{84}=0,4\left(mol\right)\)
PTHH: MgCO3 + 2HNO3 --> Mg(NO3)2 + CO2 + H2O
_______0,4---->0,8----------->0,4
\(C_{M\left(HNO_3\right)\left(C\right)}=\dfrac{0,8}{0,5}=1,6M\)
\(C_{M\left(Mg\left(NO_3\right)_2\right)\left(D\right)}=\dfrac{0,4}{0,5}=0,8M\)
b) Gọi \(\left\{{}\begin{matrix}C_{M\left(A\right)}=aM\\C_{M\left(B\right)}=bM\end{matrix}\right.\)
300ml dd A chứa: 0,3a mol HNO3
200ml dd B chứa: 0,2b mol HNO3
=> 0,3a + 0,2b = 0,8 (1)
200ml dd A chứa: 0,2a mol HNO3
300ml dd B chứa: 0,3b mol HNO3
=> \(\dfrac{0,2a+0,3b}{0,5}=1,4\) (2)
(1)(2) => a = 2 ; b = 1