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The problem

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why does 2(x+1)(x+2) - (x+1)^2 factor into (x+1) (x+3)? the calculator barely gave me any guidance as to why

Answer provided by our tutors

x+1 is the common factor, leading to

(x+1)(2(x+2)-(x+1))

Isolating the term "(2(x+1)-(x+1))" easily identifies the second factor as (x+3), leading to

(x+1)(x+3)

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