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