How to Simplify the Expression (6w2-w-3) + (7w2-4w+5)

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To simplify the expression (6w² - w - 3) + (7w² - 4w + 5), the key step is to combine like terms. This results in a reduced quadratic expression. While the original expressions may not be factorable, combining them allows for a clearer view of possible simplifications. The discussion highlights that "simplify" can have multiple interpretations, leading to different approaches for equivalent expressions. Ultimately, adding like terms is essential before considering further factorization.
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Homework Statement



Simplify, if possible.

(6w2-w-3) + (7w2-4w+5)

Homework Equations





The Attempt at a Solution



I attempted to factor both expressions, but they don't seem to be factorable. Is this already simplified as much as possible, or am I missing something?
 
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Simplify is a bit of a vague request, since putting an expression in its simplest form can mean a couple of different things.

In the least, you can combine like powers to make a reduced quadratic. I think it has a complex factorization though from there.

I'm sure there are many other ways to build equivalent expressions that you can partially factor to get something that might look simpler, but it's hard to tell what you are looking for.
 
I think you just add like terms and then see if factorization is possible.
 

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