\(a,\left(x+2\right)^2-4\left(y+2\right)^2\\ =\left(x+2\right)^2-\left(2y+4\right)^2\\ =\left(x+2-2y-4\right)\left(x+2+2y+4\right)\\ =\left(x-2y-2\right)\left(x+2y+6\right)\\ b,x^2y^2+2xy-z^2+1\\ =\left(x^2y^2+2xy+1\right)-z^2\\ =\left(xy+1\right)^2-z^2\\ =\left(xy-z+1\right)\left(xy+z+1\right)\\ c,4x^2y^2+4xy-\left(z^2-1\right)\\ =\left(4x^2y^2+4xy+1\right)-z^2\\ =\left(2xy+1\right)^2-z^2\\ =\left(2xy-z+1\right)\left(2xy+z+1\right)\)

câu c làm sai rồi 

Ta có:

`2x^3+9x^2-9x+m`

`=(2x^3-x^2)+(10x^2-5x)+(-4x+2)+(m-2)`

`=x^2(2x-1)+5x(2x-1)-2(2x-1)+(m-2)` 

`=(2x-1)(x^2+5x-2)+(m-2)` 

Vì: `(2x-1)(x^2+5x-2)` chia hết cho `2x-1`

`=>m-2=0`

`=>m=2` 

Ta có: \(n_{H_2}+n_{O_2}=\dfrac{7,437}{24,79}=0,3\left(mol\right)\) (1)

- Tỉ khối của X so với H₂ là 8,5.

\(\Rightarrow\dfrac{2n_{H_2}+32n_{O_2}}{n_{H_2}+n_{O_2}}=8,5.2\) \(\Rightarrow2n_{H_2}+32n_{O_2}=8,5.2.0,3\left(2\right)\)

Từ (1) và (2) ⇒ n_H2 = n_O2 = 0,15 (mol)

Ta có: \(n_P=\dfrac{6,2}{31}=0,2\left(mol\right)\)

PT: \(4P+5O_2\underrightarrow{t^o}2P_2O_5\)

____0,2__________0,1 (mol)

\(P_2O_5+3H_2O\rightarrow2H_3PO_4\)

0,1_________________0,2 (mol)

\(\Rightarrow C_{M_{H_3PO_4}}=\dfrac{0,2}{0,4}=0,5\left(M\right)\)

Ta có: \(m_{ddH_3PO_4}=400.1,15=460\left(g\right)\)

\(\Rightarrow C\%_{H_3PO_4}=\dfrac{0,2.98}{460}.100\%\approx4,26\%\)

\(a,\dfrac{xy^2}{xy+y}=\dfrac{xy^2}{y\left(x+1\right)}=\dfrac{xy}{x+1}\\ b,\dfrac{xy-y}{x}\ne\dfrac{xy-x}{y}\\ c,\dfrac{3ac}{a^3b}=\dfrac{3c}{a^2b}=\dfrac{6c}{2a^2b}\\ d,\dfrac{3ab-3b^2}{6b^2}=\dfrac{3b\left(a-b\right)}{6b^2}=\dfrac{a-b}{2b}\\ e,\dfrac{3x\left(x-y\right)^2}{9x^2\left(x-y\right)}=\dfrac{3x\left(x-y\right)}{9x^2}=\dfrac{x-y}{3x}\\ f,\dfrac{8-x^3}{x\left(x^2+2x+4\right)}=\dfrac{-\left(x^3-8\right)}{x\left(x^2+2x+4\right)}=\dfrac{-\left(x-2\right)\left(x^2+2x+4\right)}{x\left(x^2+2x+4\right)}=\dfrac{-\left(x-2\right)}{x}=\dfrac{x-2}{-x}\)

Bài 22: 

\(a^6+b^6\\ =\left(a^2\right)^3+\left(b^2\right)^3\\ =\left(a^2+b^2\right)\left[\left(a^2\right)^2-a^2b^2+\left(b^2\right)^2\right]\\ =\left(a^2+b^2\right)\left[\left(a^4+2a^2b^2+b^4\right)-3a^2b^2\right]\\ =\left(a^2+b^2\right)\left[\left(a^2+b^2\right)^2-3a^2b^2\right]\) 

Bài 24: 

a) Ta có:

`(a+b)^2=2(a^2+b^2)`

`<=>a^2+2ab+b^2=2a^2+2b^2`

`<=>a^2-2ab+b^2=0`

`<=>(a-b)^2=0`

`<=>a-b=0`

`<=>a=b`

b) Ta có: 

`a^2+b^2+c^2=ab+bc+ca`

`<=>2a^2+2b^2+2c^2=2ab+2bc+2ca`

`<=>(a^2-2ab+b^2)+(a^2-2ca+c^2)+(b^2-2bc+c^2)=0`

`<=>(a-b)^2+(a-c)^2+(b-c)^2=0`

`<=>a-b=0` và `a-c=0` và `b-c=0`

`<=>a=b=c` 

c) Ta có:

`(a+b+c)^2=3(ab+bc+bc)`

`<=>a^2+b^2+c^2+2ab+2bc+2ca=3ab+3bc+3ca`

`<=>a^2+b^2+c^2=ab+bc+ca`

`<=>(a-b)^2+(b-c)^2+(a-c)^2=0`

`<=>a=b=c`

ai giúp tui i k

Ta có: \(n_P=\dfrac{6,2}{31}=0,2\left(mol\right)\)

PT: \(4P+5O_2\underrightarrow{t^o}2P_2O_5\)

____0,2__0,25_____0,1 (mol)

⇒ V_O2 = 0,25.24,79 = 6,1975 (l)

m_P2O5 = 0,1.142 = 14,2 (g)

a+b+c+d=0

=>c+d=-(a+b)

\(a^3+b^3+c^3+d^3\)

\(=\left(a+b\right)^3-3ab\left(a+b\right)+\left(c+d\right)^3-3cd\left(c+d\right)\)

\(=\left(a+b\right)^3-\left(a+b\right)^3-3ab\left(a+b\right)-3cd\left(c+d\right)\)

=-3ab(a+b)-3cd(c+d)

\(=3ab\left(c+d\right)-3cd\left(c+d\right)=3\left(c+d\right)\left(ab-cd\right)\)