SOLUTION: How would I factor w(w-2)+2(2-w)

Question 582777: How would I factor w(w-2)+2(2-w)
Found 2 solutions by jim_thompson5910, algebrahouse.com:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
w(w-2)+2(2-w)

w(w-2)+2(-1)(-2+w)

w(w-2)-2(w-2)

(w-2)(w-2)

(w-2)^2

So w(w-2)+2(2-w) completely factors to (w-2)^2

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Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
w(w - 2) + 2(2 - w)
= w(w - 2) + 2(-w + 2) {switched around 2nd binomial}
= w(w - 2) - 2(w - 2) {factored -1 out of 2nd binomial}
= (w - 2)(w - 2) {factored (w - 2) out of the two binomials}

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