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

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SUMMARY

The expression (6w² - w - 3) + (7w² - 4w + 5) simplifies to 13w² - 5w + 2. The process involves combining like terms, specifically the coefficients of w², w, and the constant terms. While the expression can be reduced to a quadratic form, further factorization may not yield simpler results. The discussion highlights the importance of understanding the context of "simplification" in algebraic expressions.

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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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