Factor
\left(a-3b+2c\right)\left(3a+2b-c\right)
Evaluate
\left(a-3b+2c\right)\left(3a+2b-c\right)
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3a^{2}+\left(-7b+5c\right)a-6b^{2}-2c^{2}+7bc
Consider 3a^{2}-6b^{2}-2c^{2}-7ab+5ac+7bc as a polynomial over variable a.
\left(3a+2b-c\right)\left(a-3b+2c\right)
Find one factor of the form ka^{m}+n, where ka^{m} divides the monomial with the highest power 3a^{2} and n divides the constant factor -6b^{2}+7bc-2c^{2}. One such factor is 3a+2b-c. Factor the polynomial by dividing it by this factor.
Examples
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