1 You should not wear shorts when going to the pagoda

2 At Tet, our house is more beautifully decorated than during the year

3 Sitting in front of a computer all day can cause health problems

4 Snow White is very kind to people and animals

5 Hung King Temple festival has been a public holiday in VN since 2007

III

1 Last night, we were having dinner when the telephone rang

2 Life in the countryside has changed a lot over the past ten years

3 Nam doesn't mind listening to classical music

Bày đặt sad mặt tâm trạng đồ😂

\(\Leftrightarrow\left\{{}\begin{matrix}x-2y+z=2\\4y-4z=-6\\-y+z=-13\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x-2y+z=2\\y-z=-\dfrac{3}{2}\\-y+z=-13\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x-2y+z=2\\y-z=-\dfrac{3}{2}\\0=-\dfrac{29}{2}\end{matrix}\right.\)

Hệ đã cho vô nghiệm

Bài 1.

a. $=a^2+2.a.12+12^2=a^2+24a+144$

b. $=(3a)^2+2.3a.\frac{1}{3}+(\frac{1}{3})^2=9a^2+2a+\frac{1}{9}$

c. $=(5a^2)^2+2.5a^2.6+6^2=25a^4+60a^2+36$

d. $=\frac{1}{4}+2.\frac{1}{2}.4b+(4b)^2$

$=\frac{1}{4}+4b+16b^2$

e.

$=(a^m)^2+2.a^m.b^n+(b^n)^2$

$=a^{2m}+2a^mb^n+b^{2n}$

Bài 2.

$(x-0,3)^2=x^2-0,6x+0,09$

$(6x-3y)^2=36x^2-36xy+9y^2$

$(5-2xy)^2=25-20xy+4x^2y^2$
$(x^4-1)^2=x^8-2x^4+1$

$(x^5-y^3)^2=x^{10}-2x^5y^3+y^6$

Bài 3.

a. $(x+10)^2+(x-10)^2=x^2+20x+100+(x^2-20x+100)$

$=2x^2+200$

b. $(x-12)^2+(x+12)^2=x^2-24x+144+(x^2+24x+144)$

$=2x^2+288$

c. $(x+7)^2-(x-7)^2=[(x+7)+(x-7)][(x+7)-(x-7)]$

$=2x.14=28x$

Bài 13:

$6-2\sqrt{5}=5-2\sqrt{5}.\sqrt{1}+1$

$=(\sqrt{5}-1)^2$

Tương tự: $6+2\sqrt{5}=(\sqrt{5}+1)^2$
Do đó:
$M=\sqrt{(\sqrt{5}+1)^2}-\sqrt{(\sqrt{5}-1)^2}$

$=|\sqrt{5}+1|-|\sqrt{5}-1|=(\sqrt{5}+1)-(\sqrt{5}-1)$

$=2$

Bài 14:

a.

$M=\sqrt{4+2\sqrt{4}.\sqrt{5}+5}-\sqrt{4-2\sqrt{4}.\sqrt{5}+5}$

$=\sqrt{(\sqrt{4}+\sqrt{5})^2}-\sqrt{(\sqrt{4}-\sqrt{5})^2}$

$=|\sqrt{4}+\sqrt{5}|-|\sqrt{4}-\sqrt{5}|$

$=2+\sqrt{5}-(\sqrt{5}-2)=4$

b.

$N=\sqrt{7-2\sqrt{7}+1}-\sqrt{7+2\sqrt{7}+1}$

$=\sqrt{(\sqrt{7}-1)^2}-\sqrt{(\sqrt{7}+1)^2}$

$=|\sqrt{7}-1|-|\sqrt{7}+1|$

$=(\sqrt{7}-1)-(\sqrt{7}+1)=-2$

Bài 15:

a.

$P=\sqrt{3^2+2.3\sqrt{2}+2}-\sqrt{3^2-2.3\sqrt{2}+2}$

$=\sqrt{(3+\sqrt{2})^2}-\sqrt{(3-\sqrt{2})^2}$

$=|3+\sqrt{2}|-|3-\sqrt{2}|$

$=3+\sqrt{2}-(3-\sqrt{2})=2\sqrt{2}$

b,

$Q=\sqrt{9+2\sqrt{9.8}+8}+\sqrt{9-2\sqrt{9.8}+8}$

$=\sqrt{(\sqrt{9}+\sqrt{8})^2}+\sqrt{(\sqrt{9}-\sqrt{8})^2}$

$=|3+\sqrt{8}|+|3-\sqrt{8}|$

$=3+\sqrt{8}+(3-\sqrt{8})=6$