Al(bc), then either alb or alc

  • Thread starter kathrynag
  • Start date
In summary, Al(bc) is a complex molecule with the chemical formula Al(C<sub>12</sub>H<sub>22</sub>O<sub>11</sub>)<sub>3</sub>. It is a white crystalline solid with a high melting point and is insoluble in water. In scientific research, it is often used as a catalyst and reagent for organic synthesis reactions. Al(bc) can form strong bonds with other molecules and undergo reactions with certain functional groups.
  • #1
kathrynag
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Homework Statement


al(bc), then either alb or alc
I'm trying to explain why this is true.


Homework Equations





The Attempt at a Solution


a divides bc.
a divides b or a divides c is true because b is just a multiple of c and a will still be a factor.
 
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  • #2
This statement is true only if a is prime. Use the fact that if gcd (a,b) = c then there is some integers x,y such that ax+by=c
 
  • #3
It's not true. Counterexample: 4 | 12, but 4 doesn't divide 6 and 4 doesn't divide 2.
 

1. What is the chemical formula for Al(bc)?

The chemical formula for Al(bc) is Al(C12H22O11)3.

2. What is the structure of Al(bc)?

Al(bc) is a complex molecule with a central aluminum atom bonded to three molecules of C12H22O11.

3. What are the properties of Al(bc)?

Al(bc) is a white crystalline solid that is insoluble in water. It has a high melting point and is stable at room temperature.

4. How is Al(bc) used in scientific research?

Al(bc) is commonly used as a catalyst in organic synthesis reactions. It is also used as a reagent in the preparation of various compounds.

5. How does Al(bc) interact with other substances?

Al(bc) can form strong bonds with other molecules through its aluminum atom. It can also undergo reactions with certain functional groups, such as alcohols and carboxylic acids.

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