Factor
\left(3a-b-c\right)\left(a+b+c\right)
Evaluate
\left(3a-b-c\right)\left(a+b+c\right)
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3a^{2}+\left(2b+2c\right)a-b^{2}-c^{2}-2bc
Consider 3a^{2}-b^{2}-c^{2}+2ab-2bc+2ca as a polynomial over variable a.
\left(3a-b-c\right)\left(a+b+c\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 -b^{2}-2bc-c^{2}. One such factor is 3a-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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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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Integration
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Limits
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