Solving Equations by Factoring.

Mathematics
Tutor: None Selected Time limit: 1 Day

Factor:  15x2 + 17x - 42

Oct 19th, 2015

Thank you very much for letting me Answer your question

9x2y8-3xyy2+4x6y3 

Final result :

  xy3 • (4x5 + 9xy5 - 3)

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "y3"   was replaced by   "y^3".  4 more similar replacement(s).

Step by step solution :

Step  1  :

 Raise  y to the  3rd power

Exponentiation :

Equation at the end of step  1  :

  (((9•(x2))•(y8))-(3xy•(y2)))+((4•(x6))•y3)

Step  2  :

 Raise  x to the  6th power

Exponentiation :

Equation at the end of step  2  :

  (((9•(x2))•(y8))-(3xy•(y2)))+((4•x6)•y3)

Step  3  :

 Raise  y to the  2nd power

Exponentiation :

Equation at the end of step  3  :

  (((9•(x2))•(y8))-(3xy•y2))+22x6y3

Step  4  :

 Multiply  3xy  by  y2

Multiplying exponential expressions :

 4.1   y1 multiplied by y2 = y(1 + 2) = y3

Equation at the end of step  4  :

  (((9•(x2))•(y8))-3xy3)+22x6y3

Step  5  :

 Raise  y to the  8th power

Exponentiation :

Equation at the end of step  5  :

  (((9 • (x2)) • y8) -  3xy3) +  22x6y3

Step  6  :

 Raise  x to the  2nd power

Exponentiation :

Equation at the end of step  6  :

  (((9 • x2) • y8) -  3xy3) +  22x6y3

Step  7  :

Simplify   9x2y8-3xy3  +  22x6y3

Step  8  :

Pulling out like terms :

 7.1   Pull out like factors :

  4x6y3 + 9x2y8 - 3xy3 =  xy3 • (4x5 + 9xy5 - 3) 

Trying to factor a multi variable polynomial :

 7.2   Factoring  4x5 + 9xy5 - 3 

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

Final result :

  xy3 • (4x5 + 9xy5 - 3)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 19th, 2015

Are you studying on the go? Check out our FREE app and post questions on the fly!
Download on the
App Store
...
Oct 19th, 2015
...
Oct 19th, 2015
Dec 4th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer