Evaluate
\left(3-x\right)\left(5x-2\right)
Expand
-5x^{2}+17x-6
Graph
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5x\left(-x\right)+15x-2\left(-x\right)-6
Apply the distributive property by multiplying each term of 5x-2 by each term of -x+3.
5x\left(-x\right)+15x+2x-6
Multiply -2 and -1 to get 2.
5x\left(-x\right)+17x-6
Combine 15x and 2x to get 17x.
-5xx+17x-6
Multiply 5 and -1 to get -5.
-5x^{2}+17x-6
Multiply x and x to get x^{2}.
5x\left(-x\right)+15x-2\left(-x\right)-6
Apply the distributive property by multiplying each term of 5x-2 by each term of -x+3.
5x\left(-x\right)+15x+2x-6
Multiply -2 and -1 to get 2.
5x\left(-x\right)+17x-6
Combine 15x and 2x to get 17x.
-5xx+17x-6
Multiply 5 and -1 to get -5.
-5x^{2}+17x-6
Multiply x and x to get x^{2}.
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y = 3x + 4
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}