Answer:
STEP
1
:
Equation at the end of step 1
(((3•(x2))•y)+(9x•(y2)))+(2•3xy3)
STEP
2
:
Equation at the end of step
2
:
(((3 • (x2)) • y) + 32xy2) + (2•3xy3)
STEP
3
:
Equation at the end of step
3
:
((3x2 • y) + 32xy2) + (2•3xy3)
STEP
4
:
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
3x2y + 6xy3 + 9xy2 = 3xy • (x + 2y2 + 3y)
Trying to factor a multi variable polynomial :
5.2 Factoring x + 2y2 + 3y
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final result :
3xy • (x + 2y2 + 3y)
STEP
1
:
Equation at the end of step 1
(((3•(x2))•y)+(9x•(y2)))+(2•3xy3)
STEP
2
:
Equation at the end of step
2
:
(((3 • (x2)) • y) + 32xy2) + (2•3xy3)
STEP
3
:
Equation at the end of step
3
:
((3x2 • y) + 32xy2) + (2•3xy3)
STEP
4
:
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
3x2y + 6xy3 + 9xy2 = 3xy • (x + 2y2 + 3y)
Trying to factor a multi variable polynomial :
5.2 Factoring x + 2y2 + 3y
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final result :
3xy • (x + 2y2 + 3y)