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16x^{2}-2x+10
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16x^{2}-2x+10
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15x^{2}-3x+15+x^{2}+x-5
Use the distributive property to multiply 3 by 5x^{2}-x+5.
16x^{2}-3x+15+x-5
Combine 15x^{2} and x^{2} to get 16x^{2}.
16x^{2}-2x+15-5
Combine -3x and x to get -2x.
16x^{2}-2x+10
Subtract 5 from 15 to get 10.
15x^{2}-3x+15+x^{2}+x-5
Use the distributive property to multiply 3 by 5x^{2}-x+5.
16x^{2}-3x+15+x-5
Combine 15x^{2} and x^{2} to get 16x^{2}.
16x^{2}-2x+15-5
Combine -3x and x to get -2x.
16x^{2}-2x+10
Subtract 5 from 15 to get 10.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
\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}