Factor
\left(b-c\right)\left(a-b+c\right)
Evaluate
\left(b-c\right)\left(a-b+c\right)
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\left(b-c\right)a-b^{2}+2bc-c^{2}
Consider ab-ac-b^{2}+2bc-c^{2} as a polynomial over variable a.
\left(b-c\right)\left(a-b+c\right)
Find one factor of the form ka+m, where ka divides the monomial with the highest power \left(b-c\right)a and m divides the constant factor -b^{2}+2bc-c^{2}. One such factor is b-c. Factor the polynomial by dividing it by this factor.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Limits
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