Evaluate
5\left(x-3\right)^{2}+4
Expand
5x^{2}-30x+49
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5\left(x^{2}-6x+9\right)+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
5x^{2}-30x+45+4
Use the distributive property to multiply 5 by x^{2}-6x+9.
5x^{2}-30x+49
Add 45 and 4 to get 49.
5\left(x^{2}-6x+9\right)+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
5x^{2}-30x+45+4
Use the distributive property to multiply 5 by x^{2}-6x+9.
5x^{2}-30x+49
Add 45 and 4 to get 49.
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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
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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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