SOLUTION: 5r^2 + 40r + 75 ___________ _ 25r^2 - 50r - 375 The ^2 means squared please help

Question 643773: 5r^2 + 40r + 75
_____________
25r^2 - 50r - 375
The ^2 means squared please help
Answer by AnlytcPhil(1807) (Show Source): You can put this solution on YOUR website!

 5r� + 40r + 75
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25r� - 50r - 375

Factor the numerator:

 5r� + 40r + 75 =

Factor out 5

 5(r� + 8r + 15) <-- SIMPLIFIED NUMERATOR

Factor the trinomial in the parentheses:

 5(r + 5)(r + 3)

Factor the denominator:

25r� - 50r - 375

Factor out 25

25(r� - 2r - 15)

Factor the trinomial in the parentheses:

25(r - 5)(r + 3) <-- SIMPLIFIED DENOMINATOR

So putting the simplified numerator over 
the simplified denominator we have:



cancel the (r+3)'s





Divide top and bottom by 5:



Edwin

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