SOLUTION: Simplify or Perform operation : 113) (y2 – 16) / (-8 – 2y) 114) -2b^2 - 6b - 4 b^2 - 1 115) (

Algebra ->  Expressions-with-variables -> SOLUTION: Simplify or Perform operation : 113) (y2 – 16) / (-8 – 2y) 114) -2b^2 - 6b - 4 b^2 - 1 115) (      Log On


   

Question 177889: Simplify or Perform operation :
113) (y2 – 16) / (-8 – 2y)

114) -2b^2 - 6b - 4
b^2 - 1

115) (3x – 6)/(x^2 – 4x + 4)

116) mx + 3x + my + 3y / m2 – 3m – 18

I'M SO COMPLETELY LOST!!! PLEASE HELP ME.....
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify or Perform operation :
113) (y^2 – 16) / (-8 – 2y)
Factor where you can to get:
[(y-4)(y+4)] / [-2(4+y)]
Cancel the y+4 common factor to get:
(y-4)/(-2)
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114) (-2b^2 - 6b - 4) / (b^2 - 1)
Factor where you can to get:
[-2(b^2 + 3b +2)] / [(b-1)(b+1)]
Factor again:
= [-2(b^2 + 3b +2)] / [(b-1)(b+1)]]
= [-2(b+1)(b+2)] / [(b-1)(b+1)]
Cancel the b+1 common factor to get:
= [-2(b+2)] / [(b-1)]
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115) (3x – 6)/(x^2 – 4x + 4)
Factor to get:
(3(x-2)) / [(x-2)(x-2)]
Cancel the common x-2 factor:
= 3/(x-2)
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116) mx + 3x + my + 3y / m^2 – 3m – 18
Factor to get:
[m(x+y) + 3(x+y)] / [(m-6)(m+3)]
Factor again:
[(x+y)(m+3)] / [(m-6)(m+3)]
Cancel the common factor to get:
(x+y) / (m-6)
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Cheers,
Stan H.