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(50 point question) Hi there :) I would really appreciate your help. If you could explain how to solve the following problem that would be great. I'll make this question worth 50 points as a thank you!


Factor 10x^3y+70x^2y+100xy

Respuesta :

johnjohnschaeffer

Answer:

Step-by-step explanation:

(((10•(x3))•y)+((30•(x2))•(y2)))-(22•52xy3)

STEP

2

:

Equation at the end of step

2

:

 (((10•(x3))•y)+((2•3•5x2)•y2))-(22•52xy3)

STEP

3

:

Equation at the end of step

3

:

 (((2•5x3) • y) +  (2•3•5x2y2)) -  (22•52xy3)

STEP

4

:

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  10x3y + 30x2y2 - 100xy3  =   10xy • (x2 + 3xy - 10y2)

Trying to factor a multi variable polynomial :

5.2    Factoring    x2 + 3xy - 10y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization  :  (x + 5y)•(x - 2y)

Final result :

 10xy • (x + 5y) • (x - 2y)

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