Evaluate
-2x^{3}-17x^{2}+6x-5
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-2x^{3}-17x^{2}+6x-5
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7\left(-x\right)x+2\left(-x\right)x^{2}+2x\left(-5x+3\right)-5
Use the distributive property to multiply -x by 7x+2x^{2}.
7\left(-x\right)x+2\left(-x\right)x^{2}-10x^{2}+6x-5
Use the distributive property to multiply 2x by -5x+3.
-7xx+2\left(-1\right)xx^{2}-10x^{2}+6x-5
Multiply 7 and -1 to get -7.
-7x^{2}+2\left(-1\right)xx^{2}-10x^{2}+6x-5
Multiply x and x to get x^{2}.
-7x^{2}+2\left(-1\right)x^{3}-10x^{2}+6x-5
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
-7x^{2}-2x^{3}-10x^{2}+6x-5
Multiply 2 and -1 to get -2.
-17x^{2}-2x^{3}+6x-5
Combine -7x^{2} and -10x^{2} to get -17x^{2}.
7\left(-x\right)x+2\left(-x\right)x^{2}+2x\left(-5x+3\right)-5
Use the distributive property to multiply -x by 7x+2x^{2}.
7\left(-x\right)x+2\left(-x\right)x^{2}-10x^{2}+6x-5
Use the distributive property to multiply 2x by -5x+3.
-7xx+2\left(-1\right)xx^{2}-10x^{2}+6x-5
Multiply 7 and -1 to get -7.
-7x^{2}+2\left(-1\right)xx^{2}-10x^{2}+6x-5
Multiply x and x to get x^{2}.
-7x^{2}+2\left(-1\right)x^{3}-10x^{2}+6x-5
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
-7x^{2}-2x^{3}-10x^{2}+6x-5
Multiply 2 and -1 to get -2.
-17x^{2}-2x^{3}+6x-5
Combine -7x^{2} and -10x^{2} to get -17x^{2}.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}