How do you combine $10/(b(b+5))+2/b$ ?

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Answer 1 · 2017-01-22T02:47:16

See the entire solution process below:

First, in order to add fractions they must be over a common denominator, in this case $b(b + 5)$ .

We need to multiply the second fraction by the correct form of $1$ or $(b + 5)/(b + 5)$

$10/(b(b + 5)) + (2/b xx (b + 5)/(b + 5)) ->$

$10/(b(b + 5)) + (2(b + 5))/(b(b + 5))$

We can now add the two numerators:

$(10 + 2(b + 5))/(b(b + 5))$

We can now expand and simplify the numerator:

$(10 + 2b + 10)/(b(b + 5)) ->$

$(2b + 20)/(b(b + 5))$

And lastly, factor the numerator:

$(2(b + 10))/(b(b + 5))$

How do you combine 10/(b(b+5))+2/b10/(b(b+5))+2/b?