SOLUTION: 77. X2POWER+2XY+3X+6Y 79. X2POWER Y-X2POWER-3Y+3 81. X4POWER-2X3POWER+X2POWER+X-1 FACTOR BY GROUPING MY ANS FOR 77. IS X2PWER-2Y-3X+6X IS THIS CORRECT HELP

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: 77. X2POWER+2XY+3X+6Y 79. X2POWER Y-X2POWER-3Y+3 81. X4POWER-2X3POWER+X2POWER+X-1 FACTOR BY GROUPING MY ANS FOR 77. IS X2PWER-2Y-3X+6X IS THIS CORRECT HELP      Log On


   

Question 64454This question is from textbook beginning algebra
: 77. X2POWER+2XY+3X+6Y
79. X2POWER Y-X2POWER-3Y+3
81. X4POWER-2X3POWER+X2POWER+X-1
FACTOR BY GROUPING
MY ANS FOR 77. IS X2PWER-2Y-3X+6X IS THIS CORRECT HELP This question is from textbook beginning algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor by grouping:
77)
x%5E2%2B2xy%2B3x%2B6y Group as shown by the parentheses.
%28x%5E2%2B2xy%29+%2B+%283x%2B6y%29 Factor an x from the 1st group and a 3 from the 2nd group.
x%28x%2B2y%29+%2B+3%28x%2B2y%29 Now factor (x+2y)
%28x%2B2y%29%28x%2B3%29 ...Done!
79)
x%5E2y-x%5E2-3y%2B3 Group as shown by the parentheses.
%28x%5E2y-x%5E2%29+-+%283y-3%29 Factor x%5E2 from the 1st group and 3 from the 2nd group.
x%5E2%28y-1%29+-+3%28y-1%29 Now factor (y-1).
%28y-1%29%28x%5E2-3%29 Normally this would be sufficient, but you could further factor the 2nd factor %28x%5E2-3%29+=%28x%2Bsqrt%283%29%29%28x-sqrt%283%29%29 to get:
%28y-1%29%28x%2Bsqrt%283%29%29%28x-sqrt%283%29%29
81)
x%5E4-2x%5E3-x%5E2%2Bx-1 Group as shown:
%28x%5E4-2x%5E3%2Bx%5E2%29+%2B+%28x-1%29 Factor x%5E2 from the 1st group.
x%5E2%28x%5E2-2x%2B1%29+%2B+%28x-1%29 Now factor the 1st group in parentheses.
x%5E2%28x-1%29%28x-1%29+%2B+%28x-1%29 Now factor (x-1)
x%5E2%28x-1%29%28%28x-1%29+%2B+1%29 Simplify.
x%5E2%28x-1%29%28x%29
x%5E3%28x-1%29