Evaluate
\frac{\left(2x-3y\right)\left(3x-2y\right)}{2}
Expand
-\frac{13xy}{2}+3x^{2}+3y^{2}
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\left(6x^{2}-9xy-4yx+6y^{2}\right)\times 0.5
Apply the distributive property by multiplying each term of 3x-2y by each term of 2x-3y.
\left(6x^{2}-13xy+6y^{2}\right)\times 0.5
Combine -9xy and -4yx to get -13xy.
3x^{2}-6.5xy+3y^{2}
Use the distributive property to multiply 6x^{2}-13xy+6y^{2} by 0.5.
\left(6x^{2}-9xy-4yx+6y^{2}\right)\times 0.5
Apply the distributive property by multiplying each term of 3x-2y by each term of 2x-3y.
\left(6x^{2}-13xy+6y^{2}\right)\times 0.5
Combine -9xy and -4yx to get -13xy.
3x^{2}-6.5xy+3y^{2}
Use the distributive property to multiply 6x^{2}-13xy+6y^{2} by 0.5.
Examples
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y = 3x + 4
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Matrix
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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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