Evaluate
3+23x-9x^{2}
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3+23x-9x^{2}
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-x+19-\left(9x^{2}-24x+16\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-4\right)^{2}.
-x+19-9x^{2}+24x-16
To find the opposite of 9x^{2}-24x+16, find the opposite of each term.
-x+3-9x^{2}+24x
Subtract 16 from 19 to get 3.
23x+3-9x^{2}
Combine -x and 24x to get 23x.
-x+19-\left(9x^{2}-24x+16\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-4\right)^{2}.
-x+19-9x^{2}+24x-16
To find the opposite of 9x^{2}-24x+16, find the opposite of each term.
-x+3-9x^{2}+24x
Subtract 16 from 19 to get 3.
23x+3-9x^{2}
Combine -x and 24x to get 23x.
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y = 3x + 4
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Matrix
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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
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Limits
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