Evaluate
\left(x-2y+3\right)\left(3x+2y-1\right)
Expand
3x^{2}-4xy+8x-4y^{2}+8y-3
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3x^{2}-6xy+9x+2yx-4y^{2}+6y-x+2y-3
Apply the distributive property by multiplying each term of 3x+2y-1 by each term of x-2y+3.
3x^{2}-4xy+9x-4y^{2}+6y-x+2y-3
Combine -6xy and 2yx to get -4xy.
3x^{2}-4xy+8x-4y^{2}+6y+2y-3
Combine 9x and -x to get 8x.
3x^{2}-4xy+8x-4y^{2}+8y-3
Combine 6y and 2y to get 8y.
3x^{2}-6xy+9x+2yx-4y^{2}+6y-x+2y-3
Apply the distributive property by multiplying each term of 3x+2y-1 by each term of x-2y+3.
3x^{2}-4xy+9x-4y^{2}+6y-x+2y-3
Combine -6xy and 2yx to get -4xy.
3x^{2}-4xy+8x-4y^{2}+6y+2y-3
Combine 9x and -x to get 8x.
3x^{2}-4xy+8x-4y^{2}+8y-3
Combine 6y and 2y to get 8y.
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}