Factor
\left(3m+n-1\right)\left(2m-3n+5\right)
Evaluate
\left(3m+n-1\right)\left(2m-3n+5\right)
Share
Copied to clipboard
6m^{2}+\left(-7n+13\right)m-3n^{2}+8n-5
Consider 6m^{2}-7mn-3n^{2}+13m+8n-5 as a polynomial over variable m.
\left(2m-3n+5\right)\left(3m+n-1\right)
Find one factor of the form km^{p}+q, where km^{p} divides the monomial with the highest power 6m^{2} and q divides the constant factor -3n^{2}+8n-5. One such factor is 2m-3n+5. 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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}