Evaluate
-\left(x-5\right)^{2}+y+9
Expand
-x^{2}+10x+y-16
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-\left(x^{2}-10x+25\right)+9+y
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
-x^{2}+10x-25+9+y
To find the opposite of x^{2}-10x+25, find the opposite of each term.
-x^{2}+10x-16+y
Add -25 and 9 to get -16.
-\left(x^{2}-10x+25\right)+9+y
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
-x^{2}+10x-25+9+y
To find the opposite of x^{2}-10x+25, find the opposite of each term.
-x^{2}+10x-16+y
Add -25 and 9 to get -16.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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\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]
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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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