Evaluate
9\left(x-5\right)^{2}+x-1
Expand
9x^{2}-89x+224
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x-5+9x^{2}-90x+225+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-15\right)^{2}.
-89x-5+9x^{2}+225+4
Combine x and -90x to get -89x.
-89x+220+9x^{2}+4
Add -5 and 225 to get 220.
-89x+224+9x^{2}
Add 220 and 4 to get 224.
x-5+9x^{2}-90x+225+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-15\right)^{2}.
-89x-5+9x^{2}+225+4
Combine x and -90x to get -89x.
-89x+220+9x^{2}+4
Add -5 and 225 to get 220.
-89x+224+9x^{2}
Add 220 and 4 to get 224.
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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