Evaluate
4\left(x+17\right)
Expand
4x+68
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64-x^{2}+\left(x+2\right)^{2}
Consider \left(8+x\right)\left(8-x\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 8.
64-x^{2}+x^{2}+4x+4
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
64+4x+4
Combine -x^{2} and x^{2} to get 0.
68+4x
Add 64 and 4 to get 68.
64-x^{2}+\left(x+2\right)^{2}
Consider \left(8+x\right)\left(8-x\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 8.
64-x^{2}+x^{2}+4x+4
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
64+4x+4
Combine -x^{2} and x^{2} to get 0.
68+4x
Add 64 and 4 to get 68.
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Simultaneous equation
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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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