khoanh toàn C

1 A

2 D

3 C

4 A

5 C

6 câu này sai 2 chỗ A và C

7 A

8 B

9 B

1 A

2 D

3 C

4 A

5 C

6 A

7 A

8 B

\(\left|3x+2\right|=\left|4x-3\right|\)

\(\Leftrightarrow\left[{}\begin{matrix}3x+2=4x-3\\3x+2=3-4x\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}-x=-5\\7x=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=\dfrac{1}{7}\end{matrix}\right.\)

\(\left|2+3x\right|=\left|4x-3\right|\)

\(\Leftrightarrow\left[{}\begin{matrix}2+3x=4x-3\\2+3x=3-4x\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=5\\x=\dfrac{1}{7}\end{matrix}\right.\)

C

C

\(x^2+4x+3=x^2+3x+x+3=\left(x^2+3x\right)+\left(x+3\right)=x\left(x+3\right)+\left(x+3\right)=\left(x+3\right)\left(x+1\right)\)

m.n giúp mk câu này vs ạ 

(\(\dfrac{x+2}{x-2}-\dfrac{x-2}{x+2}+\dfrac{16}{4-x^2}\)) : (\(\dfrac{4}{2-x}-\dfrac{8}{2x-x^2}\))

a: Xét ΔEAD và ΔECG có

góc EAD=góc ECG

góc AED=góc CEG

=>ΔEAD đồng dạng với ΔECG

=>AD/CG=ED/EG

=>AD*EG=ED*CG

b: Xét ΔHEG và ΔHCB có

góc HEG=góc HCB

góc EHG=góc CHB

=>ΔHEG đồng dạng với ΔHCB

=>HE/HC=HG/HB

Xét ΔHAB và ΔHCG có

góc HAB=góc HCG

góc AHB=góc CHG

=>ΔHAB đồng dạng với ΔHCG

=>HA/HC=HB/HG

=>HC/HA=HG/HB

=>HC/HA=HE/HC

=>HC^2=HA*HE

c: HI//BA

=>HI/BA=CH/CA=CI/CB

HI//EG

=>HI/EG=BI/BC

HI/BA=CI/CB

HI/BA+HI/EG=BI/BC+CI/BC=1

=>HI(1/BA+1/EG)=1

=>1/BA+1/EG=1/HI

???

\(I=\int\dfrac{2}{2+5sinxcosx}dx=\int\dfrac{2sec^2x}{2sec^2x+5tanx}dx\\ =\int\dfrac{2sec^2x}{2tan^2x+5tanx+2}dx\)

We substitute :

\(u=tanx,du=sec^2xdx\\ I=\int\dfrac{2}{2u^2+5u+2}du\\ =\int\dfrac{2}{2\left(u+\dfrac{5}{4}\right)^2-\dfrac{9}{8}}du\\ =\int\dfrac{1}{\left(u+\dfrac{5}{4}\right)^2-\dfrac{9}{16}}du\\ \)

Then, 

\(t=u+\dfrac{5}{4}\\I=\int\dfrac{1}{t^2-\dfrac{9}{16}}dt\\ =\int\dfrac{\dfrac{2}{3}}{t-\dfrac{3}{4}}-\dfrac{\dfrac{2}{3}}{t+\dfrac{3}{4}}dt\)

Finally,

\(I=\dfrac{2}{3}ln\left(\left|\dfrac{t-\dfrac{3}{4}}{t+\dfrac{3}{4}}\right|\right)+C=\dfrac{2}{3}ln\left(\left|\dfrac{tanx+\dfrac{1}{2}}{tanx+2}\right|\right)+C\)