Explain the closure property as it relates to rational expressions. give an example and simplify it to prove closure.

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We can show this closure property with the help of numerical as well as algebraic expressions.

The closure property if we define an multiplication operation is given by:

With the help of numerical expression.

Let us consider

and  

Then

and

Hence

Hence, the closure property holds.

similar case holds for algebraic expression as well.

Since we know that:

Similarly rational expression holds closure property with respect to addition as well.

i.e. a+b=b+a

But it does not hold in case of subtraction.

( since a-b≠b-a

consider a=3 and b= 5

Then a-b=3-5= -2

and b-a=5-3=2 )

Step-by-step explanation:

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

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step-by-step explanation: