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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)