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