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

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


   

Question 643773: 5r^2 + 40r + 75
_____________
25r^2 - 50r - 375
The ^2 means squared please help
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
 5rｲ + 40r + 75
覧覧覧覧覧覧覧覧
25rｲ - 50r - 375

Factor the numerator:

 5rｲ + 40r + 75 =

Factor out 5

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

Factor the trinomial in the parentheses:

 5(r + 5)(r + 3)

Factor the denominator:

25rｲ - 50r - 375

Factor out 25

25(rｲ - 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:

%285%28r+%2B+5%29%28r+%2B+3%29%29%2F%2825%28r+-+5%29%28r+%2B+3%29%29

cancel the (r+3)'s

%285%28r+%2B+5%29%28cross%28r+%2B+3%29%29%29%2F%2825%28r+-+5%29%28cross%28r+%2B+3%29%29%29

%285%28r+%2B+5%29%29%2F%2825%28r+-+5%29%29

Divide top and bottom by 5:

%28r+%2B+5%29%2F%285%28r+-+5%29%29

Edwin