Factor
\left(a+3b-2c\right)\left(2a-b+2c\right)
Evaluate
\left(a+3b-2c\right)\left(2a-b+2c\right)
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2a^{2}+\left(5b-2c\right)a-3b^{2}-4c^{2}+8bc
Consider 2a^{2}-3b^{2}-4c^{2}+5ab-2ac+8bc as a polynomial over variable a.
\left(2a-b+2c\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 2a^{2} and n divides the constant factor -3b^{2}+8bc-4c^{2}. One such factor is 2a-b+2c. Factor the polynomial by dividing it by this factor.
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