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Someone help please! I’m stuck on this algebra question! (Picture is listed of problem)

Someone help please! I’m stuck on this algebra question! (Picture is listed of problem-example-1

1 Answer

6 votes
Hey there :)

We know to add or subtract a fraction, the denominators should be the same

Here let us only work with the denominators

w² + w - 2 and w²+ 7w + 10
↓ Factorise both ↓
( w - 1 )( w + 2 ) ( w + 2 )( w + 5 )
We see that ( w + 2 ) is common for both denominators
We need to multiply the first fraction by ( w + 5 ) and the second by ( w - 1 ) to have the least common denominator

( w - 1 )( w + 2 )( w + 5 ) and ( w + 2 )( w + 5 )( w - 1 )

Your answer will be option 1
answered
User Michiel Overeem
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