CaO + X -> A2
CO2 + Z -> B2
A2 + B2 -> CaCO3
A2 + Y -> A3
B2 + T -> B3
A3 + B3 -> CaCO3
Tìm A2, A3, B2, B3, X, Y, Z, T và viết phương trình
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VP `=(a+b)(a^2-ab+b^2)`
`=a^3-a^2b+ab^2+a^2b-ab^2+b^3`
`=a^3+(a^2b-a^2b)+(ab^2-ab^2)+b^3`
`=a^3+b^3`
.
VP `=(a-b)(a^2+ab+b^2)`
`=a^3+a^2b+ab^2-a^2b-ab^2-b^3`
`=a^3+(a^2b-a^2b)+(ab^2-ab^2)-b^3`
`=a^3-b^3`
b) Ta có: \(a\left(b^2-c^2\right)+b\left(c^2-a^2\right)+c\left(a^2-b^2\right)\)
\(=ab^2-ac^2+bc^2-ba^2+ca^2-cb^2\)
\(=\left(ab^2-cb^2\right)+\left(ca^2-c^2a\right)+\left(bc^2-ba^2\right)\)
\(=b^2\left(a-c\right)+ca\left(a-c\right)+b\left(c^2-a^2\right)\)
\(=\left(a-c\right)\left(b^2+ca\right)-b\left(a-c\right)\left(a+c\right)\)
\(=\left(a-c\right)\left(b^2+ca-ba-bc\right)\)
\(=\left(a-c\right)\left[b\left(b-a\right)+c\left(a-b\right)\right]\)
\(=\left(a-c\right)\left[b\left(b-a\right)-c\left(b-a\right)\right]\)
\(=\left(a-c\right)\left(b-a\right)\left(b-c\right)\)
A1 : Fe2O3 , A2 : FeCl3 , A3 : Fe(NO3)3
X : HCl , Y : AgNO3
\(2Fe\left(OH\right)_3-^{t^o}\rightarrow Fe_2O_3+3H_2O\)
\(Fe_2O_3+6HCl\rightarrow2FeCl_3+H_2O\)
\(FeCl_3+AgNO_3\rightarrow Fe\left(NO_3\right)_3+AgCl\)
\(3NaOH+Fe\left(NO_3\right)_3\rightarrow Fe\left(OH\right)_3+NaNO_3\)
B1 : H2O, B2 : H2SO4, B3 : Fe2(SO4)3
Z : SO3 , T : Fe
\(H_2O+SO_3\rightarrow H_2SO_4\)
\(6H_2SO_4+2Fe\rightarrow Fe_2\left(SO_4\right)_3+6H_2O+3SO_2\)
\(Fe_2\left(SO_4\right)_3+6NaOH\rightarrow2Fe\left(OH\right)_3+3Na_2SO_4\)