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A situation written in mathematical expressions is called For the toolbar, press ALT+F1o (PC) or ALT+FN+FIO (Mac):...

Question

A situation written in mathematical expressions is called For the toolbar, press ALT+F1o (PC) or ALT+FN+FIO (Mac):

A situation written in mathematical expressions is called For the toolbar, press ALT+F1o (PC) or ALT+FN+FIO (Mac):



Answers

A situation written in mathematical expressions is called For the toolbar, press ALT+F1o (PC) or ALT+FN+FIO (Mac):

But the expressions, equations or inequalities to represent real life situations is called modeling.

So we want to discuss the process of writing rational expressions as a sum or difference of two or more simple, rational expression. So a good example of this would be say, um three X Class five divided by 15. And oftentimes we want to break this up. And the reason why is because if we break it up, we can write this as three x over 15 plus 5/15. And again, we would do this because we're allowed to do this because they have a common denominator. We could just add these together again and we get back to this right? Eso. Then this would be equal to the reason why we do it is because we can simplify it now. We could have X over five plus one third. We see that we'd end up getting the same line that we did before it was X over five. You get the same line as we did before. Now there's a really important tool. Um, it's nice property that we have when it comes to solving equations, especially with rational expressions, Um, and the term that we use for it. It's called partial fraction decomposition. Partial fraction decomposition. Eso those of the blanks we need to fill in and it's called this because we've decomposed are larger fraction into two partial fractions, so that's where this term ultimately comes from.

For example, a rational expression. X plus seven upon X square. Negative eggs. Negative six can be written as the summer to friction with linear denominated that is X plus seven upon actual square negative xnegative sick equal toe toe upon negative three. Bless negative one a phone X plus two so you can see that here fortune friction so we can say partial friction. Decomposition is a rational expression can often be written as the sum off two more similar rational expression. The result. Off writing irrational expression as the so off mhm to oh, more similar. So it's simpler. Rational expression is called Portugal friction decomposition. So it is all final answer.

In this question, we want to answer the statement the process of writing a rational expression as the some off two or more simpler, rational expression is called now, first of all, a rational expression. Toby, for example, something you see like this where the denominator is a multiplication off functions. So we can actually split this into a over express one plus B over X plus two off course, their techniques where we can find M. B. So in this case, thesis process off splitting this rational expression into two or more simpler, rational expression thesis called pasha Correction. The composition your composition means we split it into simpler entities.


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