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How do you simplify #(5a+10b) /( 4a+8b)#?

Answer 1

Hazel Anglin

See the entire simplification process below:

First, factor the numerator and denominator:

#(5a + 10b)/(4a + 8b) -> (5(a + 2b))/(4(a + 2b))#

Now, we can cancel common terms:

#(5color(red)(cancel(color(black)((a + 2b)))))/(4color(red)(cancel(color(black)((a + 2b))))) = 5/4# When #4a + 8b != 0#

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Answer 2

Kennedy Adams

To simplify the expression (5a+10b) /( 4a+8b), you can factor out a common factor of 5 from the numerator and a common factor of 4 from the denominator. This gives you (5(a+2b)) / (4(a+2b)). Now, you can cancel out the common factor of (a+2b) from both the numerator and the denominator, resulting in the simplified expression of 5/4.

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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.