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How do you simplify #(x^2 + 2x)/(5x+10)#?

Answer 1

What is multiplying both terms on each component of the fraction can be factored out of the numerator and denominator:

#(x(x+2))/(5(x+2))#

Now, we can cancel what's both on numerator and denominator, as when a number/equation divides itself, the result is #1#.

#(xcancel((x+2)))/(5cancel((x+2)))=color(Green)(x/5)#

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Answer 2

Jace Anderson

To simplify the expression (x^2 + 2x)/(5x+10), you can factor out a common term from both the numerator and the denominator. In this case, you can factor out an x from the numerator, which gives you x(x + 2). Similarly, you can factor out a 5 from the denominator, resulting in 5(x + 2). Now, you can cancel out the common factor of (x + 2) from both the numerator and the denominator. The simplified expression is x/5.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.