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Steps on Factoring Linear Equations

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I have provided an attachment showing the two problems that I have already worked. I am looking for a sanity check to ensure the process is correct. Since doing the equations, I have two distinct questions concerning the problems.

1. Why can we not factor something like a2+b2?
2. On the second equation, not sure if I used the correct factoring form. Can factor by grouping, or you can look for two numbers that multiply to give 45 and add up to 18. I do not understand the steps in these process. Can you demonstrate using the second equation?

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Solution Summary

The solution gives detailed steps on factoring linear equations. All formula and calculations are shown and explained.

Solution Preview

1. a2 + b2 can not be factored because we are working on real numbers. So a2 + b2 has been the simplest form. ...

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