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3x^{2}-79x-283
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3x^{2}-79x-283
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2x^{2}-69x-308+\left(x-5\right)^{2}
Use the distributive property to multiply x+4 by 2x-77 and combine like terms.
2x^{2}-69x-308+x^{2}-10x+25
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
3x^{2}-69x-308-10x+25
Combine 2x^{2} and x^{2} to get 3x^{2}.
3x^{2}-79x-308+25
Combine -69x and -10x to get -79x.
3x^{2}-79x-283
Add -308 and 25 to get -283.
2x^{2}-69x-308+\left(x-5\right)^{2}
Use the distributive property to multiply x+4 by 2x-77 and combine like terms.
2x^{2}-69x-308+x^{2}-10x+25
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
3x^{2}-69x-308-10x+25
Combine 2x^{2} and x^{2} to get 3x^{2}.
3x^{2}-79x-308+25
Combine -69x and -10x to get -79x.
3x^{2}-79x-283
Add -308 and 25 to get -283.
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Simultaneous equation
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Differentiation
\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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