VD1:

a: \(5\cdot\sqrt{25a^2}-25a\)

\(=5\cdot\left|5a\right|-25a\)

=-25a-25a(a<0)

=-50a

b: \(\sqrt{49a^2}+3a\)

\(=\sqrt{\left(7a\right)^2}+3a\)

=7a+3a

=10a

c: Đặt A=\(\sqrt{64a^2}-8a\)

\(=\sqrt{\left(8a\right)^2}-8a\)

=8|a|-8a

TH1: a>=0

=>A=8a-8a=0

TH2: a<0

=>A=-8a-8a=-16a

d: Đặt \(A=\sqrt{9a^6}-3a^3\)

\(=3\cdot\sqrt{a^6}-3a^3\)

\(=3\cdot\left|a^3\right|-3a^3\)

TH1: a>=0

=>\(A=3a^3-3a^3=0\)

TH2: a<0

=>\(A=-3a^3-3a^3=-6a^3\)

VD2:

a: \(4x-\sqrt{x^2-4x+4}\)

\(=4x-\sqrt{\left(x-2\right)^2}\)

=4x-|x-2|

=4x-(x-2)(x>=2)

=4x-x+2

=3x+2

b: \(3x+\sqrt{x^2+6x+9}\)

\(=3x+\sqrt{\left(x+3\right)^2}\)

=3x+|x+3|

=3x+(-x-3)(x<-3)

=2x-3

c: \(\frac{x+6\sqrt{x}+9}{x-9}\)

\(=\frac{\left(\sqrt{x}+3\right)^2}{\left(\sqrt{x}-3\right)\left(\sqrt{x}+3\right)}=\frac{\sqrt{x}+3}{\sqrt{x}-3}\)

d: \(\frac{\sqrt{x^2+4x+4}}{x+2}\)

\(=\frac{\sqrt{\left(x+2\right)^2}}{x+2}\)

\(=\frac{\left|x+2\right|}{x+2}=\pm1\)

1 was arrested before the garden by the boy yesterday

2 his cats taken care of carefully by Jack everyday

3 Has the country been protected from Covid-19 successfully

4 is reported that the man is running out of money

is reported to be running out of money\

5 has been said that the thief got out of the prison

has been said to have got out of the prison

6 was thought that Mary had turned down the job

Mary was thought to have  turned down the job

Em tách ra từng bài nhé !

Bài 3:

\(a,=\sqrt[3]{\left(x-1\right)^3}-\sqrt[3]{\left(5x+1\right)^3}=x-1-5x-1=-4x-2\\ b,=6a-6a+20a=20a\)

Bài 2:

\(a,=2\sqrt[3]{6}+3\sqrt[3]{5}-4\sqrt[3]{6}-2\sqrt[3]{5}=\sqrt[3]{5}-2\sqrt[3]{6}\\ b,=\sqrt[3]{8}-4\sqrt[3]{27}+2\sqrt[3]{64}=2-12+16=6\\ c,=\sqrt[3]{64}+\sqrt[3]{48}+\sqrt[3]{36}-\sqrt[3]{48}-\sqrt[3]{36}-\sqrt[3]{27}=4-3=1\\ d,=\sqrt[3]{162\left(-2\right)\cdot\dfrac{2}{3}}=\sqrt[3]{-216}=-6\)

\(2/\\ \text{Cho quỳ tím vào 4 mâu:}\\ \text{- Hoá xanh: }KOH; Ba(OH)_2(1)\\ \text{- Không hiện tượng: } KCl; K_2SO_4 (2)\\ \text{Đổ nhóm 1 vào nhóm 2: }\\ \text{- Tạo kết tủa: } Ba(OH)_2; K_2SO_4\\ \to Ba(OH)_2 \text{ ở nhóm 1 và } K_2SO_4 \text{ ở nhóm 2}\\ \text{- Không hiện tượng: } KCl; KOH (2)\\ \to KOH \text{ ở nhóm 1 và } KCl \text{ ở nhóm 2}\\ Ba(OH)_2+K_2SO_4 \to BaSO_4+2KOH\)

\(3/\\ 2Fe(OH)_3 \xrightarrow{t^{o}} Fe_2O_3+3H_2O\\ n_{Fe_2O_3}=0,15(mol)\\ \to n_{Fe(OH)_3}=0,15.2=0,3(mol)\\ m_{Fe(OH)_3}=0,3.107=32,1(g)\)

Em chưa làm được cả 3 bài à em?

Câu 1:

\(a,SO_2+H_2O⇌H_2SO_3\\ K_2O+H_2O\rightarrow2KOH\\ CO_2+H_2O⇌H_2CO_3\\ b,MgO+H_2SO_4\rightarrow MgSO_4+H_2O\\ K_2O+H_2SO_4\rightarrow K_2SO_4+H_2O\\ c,SO_2+2KOH\rightarrow K_2SO_3+H_2O\\ KOH+SO_2\rightarrow KHSO_3\\ CO_2+2KOH\rightarrow K_2CO_3+H_2O\\ KOH+CO_2\rightarrow KHCO_3\)

Bài 2:

- Dẫn hỗn hợp khí qua bình đựng CuO:

+ CuO từ đen chuyển sang đỏ Cu, tức là khí CO đã tham gia phản ứng.

+ Sau đó, thu được khí CO₂ và SO₂

\(CO+CuO\underrightarrow{^{to}}Cu+CO_2\)