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HELP HELP i need clear explanation​

HELP HELP i need clear explanation​-example-1

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Answer:

(x -3)/(x -1) and (x +2)/(x -3)

Explanation:

If you want the product of two fractions to be a/b, then 'a' must be a factor in the numerator of one of them, and 'b' must be a factor in the denominator of one of them.

'a' and 'b' are already in the numerator and denominator of a/b, so we can choose the other fraction to be something that has a value of 1, such as c/c.

(a/b)(c/c) = (ac)/(bc) = a/b

The intermediate product (before we reduce the result) has a numerator of 'ac' and a denominator of 'bc'. We can split those into two parts however we like. For example, we can get the same result by multiplying ...

(a/c)(c/b) = (ac)/(bc) = a/b

So, a simple answer to your question could be ...


\left((x-3)/(x-1)\right)*\left((x+2)/(x-3)\right)=(x+2)/(x-1)

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The idea is to multiply the given result by 1 in some form. That form can be as complicated as you like, and its factors can be grouped any way you like

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