Factor a^2b-ab-a^2+a

Math
a2b-ab-a2+a
Factor a out of a2b-ab-a2+a.
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Factor a out of a2b.
a(ab)-ab-a2+a
Factor a out of -ab.
a(ab)+a(-1b)-a2+a
Factor a out of -a2.
a(ab)+a(-1b)+a(-a)+a
Raise a to the power of 1.
a(ab)+a(-1b)+a(-a)+a1
Factor a out of a1.
a(ab)+a(-1b)+a(-a)+a⋅1
Factor a out of a(ab)+a(-1b).
a(ab-1b)+a(-a)+a⋅1
Factor a out of a(ab-1b)+a(-a).
a(ab-1b-a)+a⋅1
Factor a out of a(ab-1b-a)+a⋅1.
a(ab-1b-a+1)
a(ab-1b-a+1)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
a((ab-1b)-a+1)
Factor out the greatest common factor (GCF) from each group.
a(b(a-1)-(a-1))
a(b(a-1)-(a-1))
Factor.
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Factor the polynomial by factoring out the greatest common factor, a-1.
a((a-1)(b-1))
Remove unnecessary parentheses.
a(a-1)(b-1)
a(a-1)(b-1)
Factor a^2b-ab-a^2+a

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