Evaluate
25x^{2}-3x+4
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25x^{2}-3x+4
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25x^{2}-10x+1+7x+3
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5x-1\right)^{2}.
25x^{2}-3x+1+3
Combine -10x and 7x to get -3x.
25x^{2}-3x+4
Add 1 and 3 to get 4.
25x^{2}-10x+1+7x+3
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5x-1\right)^{2}.
25x^{2}-3x+1+3
Combine -10x and 7x to get -3x.
25x^{2}-3x+4
Add 1 and 3 to get 4.
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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