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Michael Santos

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## Homework Statement

Is it legal to factor x+3 out of x+3+h and turn it into (x+3)(1+(h/x+3))

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- Thread starter Michael Santos
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In summary, it is possible to factor x+3 out of x+3+h and turn it into (x+3)(1+(h/(x+3))), as long as the parentheses are properly inserted to indicate the intended order of operations.

- #1

Michael Santos

- 29

- 3

Is it legal to factor x+3 out of x+3+h and turn it into (x+3)(1+(h/x+3))

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SammyS

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Yes, provided you mean ##\displaystyle \ (x+3)\left( 1 + \frac{h}{x+3} \right) \,.##Michael Santos said:## Homework Statement

Is it legal to factor x+3 out of x+3+h and turn it into (x+3)(1+(h/(x+3)))

## Homework Equations

## The Attempt at a Solution

I inserted the missing parentheses in the above quote of your post. These are necessary when writing the fraction on a single line rather than in stacked form as pointed out by @mfb .

Factorizing x+3 means finding two or more numbers or expressions that, when multiplied together, result in x+3.

There is a question about the legality of factorizing x+3 because it is not always possible to factorize an expression. Some expressions, including x+3, cannot be factored using traditional methods.

No, x+3 cannot be factored using traditional methods. It does not have two or more numbers or expressions that can be multiplied together to result in x+3.

No, factoring is not a simplification method. It is a way to break down an expression into smaller parts. Since x+3 cannot be factored, it cannot be simplified in this way.

No, x+3 cannot be factored using traditional methods. However, if we consider complex numbers, x+3 can be factored as (x+3) = (x+3+0i) = (2+0i)(x+2i), where i is the imaginary unit.

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