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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

 Aug 2, 2015

Best Answer 

 #1
avatar+17747 
+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)

 Aug 3, 2015
 #1
avatar+17747 
+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

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