Evaluate
\left(x-3\right)^{2}+x^{2}-16
Expand
2x^{2}-6x-7
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x^{2}-6x+9+\left(x-4\right)\left(x+4\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
x^{2}-6x+9+x^{2}-16
Consider \left(x-4\right)\left(x+4\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 4.
2x^{2}-6x+9-16
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}-6x-7
Subtract 16 from 9 to get -7.
x^{2}-6x+9+\left(x-4\right)\left(x+4\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
x^{2}-6x+9+x^{2}-16
Consider \left(x-4\right)\left(x+4\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 4.
2x^{2}-6x+9-16
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}-6x-7
Subtract 16 from 9 to get -7.
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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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