+0  
 
0
309
1
avatar

how do i factor this problem: y^2(x^2 - 2x + 1) +11y(x^2 -2x +1) +30(x^2 -2x +1)

if you dont mind could you please show the steps on how to do this problem

Guest Aug 2, 2015

Best Answer 

 #1
avatar+17649 
+10

First:  factor out the common factor of x2 - 2x + 1:

y2(x2 - 2x + 1) + 11y(x2 - 2x + 1) + 30(x2 - 2x + 1)

=  (x2 - 2x + 1)[ y2 + 11y + 30 ]

Factor  x2 - 2x + 1  to get  (x - 1)(x - 1)  or  (x - 1)2

and factor  y2 + 11y + 30  to get  (y + 6)(y + 5)

Substitute these into the expression above to get:

=  (x - 1)2(Y + 6)(y + 5y)

geno3141  Aug 3, 2015
Sort: 

1+0 Answers

 #1
avatar+17649 
+10
Best Answer

First:  factor out the common factor of x2 - 2x + 1:

y2(x2 - 2x + 1) + 11y(x2 - 2x + 1) + 30(x2 - 2x + 1)

=  (x2 - 2x + 1)[ y2 + 11y + 30 ]

Factor  x2 - 2x + 1  to get  (x - 1)(x - 1)  or  (x - 1)2

and factor  y2 + 11y + 30  to get  (y + 6)(y + 5)

Substitute these into the expression above to get:

=  (x - 1)2(Y + 6)(y + 5y)

geno3141  Aug 3, 2015

13 Online Users

avatar
avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details