\(5,\\ a,=x^4+4x^2+4-4x^2=\left(x^2+2\right)^2-4x^2=\left(x^2-2x+2\right)\left(x^2+2x+2\right)\\ b,=x^4+16x^2+64-16x^2=\left(x^2+8\right)^2-16x^2=\left(x^2-4x+8\right)\left(x^2+4x+8\right)\\ c,=x^8+x^7+x^6-x^6+x^5-x^5+x^4-x^4+x^3-x^3+x^2-x^2+x-x+1\\ =x^6\left(x^2+x+1\right)-x^4\left(x^2+x+1\right)+x^3\left(x^2+x+1\right)-x\left(x^2+x+1\right)+\left(x^2+x+1\right)\\ =\left(x^6-x^4+x^3-x+1\right)\left(x^2+x+1\right)\)

\(d,=x^8+2x^4+1-x^4=\left(x^4+1\right)^2-x^4=\left(x^4-x^2+1\right)\left(x^4+x^2+1\right)\\ =\left(x^4-x^2+1\right)\left(x^4+2x^2+1-x^2\right)\\ =\left(x^4-x^2+1\right)\left(x^2-x+1\right)\left(x^2+x+1\right)\\ e,=x^5+x^4-x^4+x^3-x^3+x^2-x^2+x+1\\ =x^3\left(x^2+x+1\right)-x^2\left(x^2+x+x\right)+\left(x^2+x+1\right)\\ =\left(x^3-x^2+1\right)\left(x^2+x+1\right)\\ f,=x^3+2x^2-x^2-2x+2x+4\\ =\left(x+2\right)\left(x^2-x+2\right)\\ g,=x^4+2x^2+1-25=\left(x^2+1\right)^2-25\\ =\left(x^2+1-5\right)\left(x^2-1-5\right)=\left(x^2-4\right)\left(x^2-6\right)=\left(x-2\right)\left(x+2\right)\left(x^2-6\right)\)

\(h,=x^3-2x^2+2x^2-4x+2x-4=\left(x-2\right)\left(x^2+2x+2\right)\\ i,=a^4-4a^2b^2+4b^4-4a^2b^2=\left(a^2-2b^2\right)^2-4a^2b^2\\ =\left(a^2-2ab-2b^2\right)\left(a^2+2ab-2b^2\right)\)

a, Ta có phương trình cân bằng nhiệt

\(Q_{toả}=Q_{thu}\\ \Leftrightarrow2.380\left(150-t_{cb}\right)=1,5.4200\left(t_{cb}-30\right)\\ \Rightarrow t_{cb}=42,91^o\) 

b, Theo đề bài ta đc

( đoạn này mik chưa hiểu đề lắm nói rõ ra đc ko bạn )

Mình viết phần điền tiếp thui nhé, cái đề cho mk k viết

1 where they were organizing the party

2 if I knew the woman in red over there

3 Peter why he didn't turn off the light

4 she was going

5 if the nearest post office was far away

6 what we were going to do that Christmas

7 where I worked

8 how far it was from my house to my school

9 if his friend was a good person

10 how many people there were in my family

1. ...where they were organizing the party.

2. ...if I knew the woman in red over there.

3. ...Peter why he didn't turn off the light.

4. ...she was going.

5. ...if the nearest post office was far away.

6. ...what we were going to do this Christmas.

7. ...where I worked.

8. ...how far it was from my house to my school.

9. ...if his friend was a good person.

10. ...how many people there were in my family.

1. ...where they were organizing the party.

2. ...if I knew the woman in red over there.

3. ...Peter why he didn't turn off the light.

4. ...she was going.

5. ...if the nearest post office was far away.

6. ...what we were going to do this Christmas.

7. ...where I worked.

8. ...how far it was from my house to my school.

9. ...if his friend was a good person.

10. ...how many people there were in my family.

a: Xét tứ giác BHCK có 

BK//CH

BH//CK

Do đó:BHCK là hình bình hành

a: \(\overrightarrow{AB}=\left(-3;-2\right)\)

\(\overrightarrow{AC}=\left(1;-4\right)\)

Vì \(\overrightarrow{AB}< >\overrightarrow{AC}\) nên A,B,C ko thẳng hàng

hay A,B,C lập thành 1 tam giác

b: Gọi M là trung điểm của BC

\(\Leftrightarrow\left\{{}\begin{matrix}x_M=\dfrac{2-\left(-2\right)}{2}=2\\y_M=\dfrac{-1-1}{2}=-1\end{matrix}\right.\)

Vậy: M(2;-1)

A(1;3)

\(AM=\sqrt{\left(2-1\right)^2+\left(-1-3\right)^2}=\sqrt{17}\)

Độ dài cạnh đối diện với góc 30 độ là 9cm