Factor
\left(y+3z\right)\left(2x+y+3z\right)
Evaluate
\left(y+3z\right)\left(2x+y+3z\right)
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y^{2}+\left(2x+6z\right)y+9z^{2}+6xz
Consider y^{2}+9z^{2}+2xy+6xz+6yz as a polynomial over variable y.
\left(y+3z\right)\left(2x+y+3z\right)
Find one factor of the form y^{k}+m, where y^{k} divides the monomial with the highest power y^{2} and m divides the constant factor 6xz+9z^{2}. One such factor is y+3z. Factor the polynomial by dividing it by this factor.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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