Factor
\left(a+b+c\right)\left(2a+2b+c\right)
Evaluate
\left(a+b+c\right)\left(2a+2b+c\right)
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2a^{2}+\left(4b+3c\right)a+2b^{2}+c^{2}+3bc
Consider 2a^{2}+2b^{2}+c^{2}+4ab+3ac+3bc as a polynomial over variable a.
\left(2a+2b+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 2a^{2} and n divides the constant factor 2b^{2}+3bc+c^{2}. One such factor is 2a+2b+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]
Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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