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
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)
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)