How did you factor our r
Mathematics
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Step-by-step solution
3 stepsOkay, Samadhi, let's break down how was factored out from the equation.
We had the equation:
Factoring means identifying a common term that appears in multiple parts of an expression and writing the expression as the product of that common term and the sum/difference of the remaining parts.
In the expression , the variable is present in both terms ( and ).
Identify the common factor.
The common factor is .
Rewrite each term as a product involving the common factor.
- The first term, , can be written as .
- The second term, , can be written as .
Apply the distributive property in reverse.
The distributive property states that .
We have .
Comparing this to , we can see that , , and .
So, we can rewrite it as .Therefore, the equation becomes:
This is how was factored out.
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