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9x^{2}+18x+10
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9x^{2}+18x+10
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9x^{2}+24x+16-2\left(3x+4\right)+2
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+4\right)^{2}.
9x^{2}+24x+16-6x-8+2
Use the distributive property to multiply -2 by 3x+4.
9x^{2}+18x+16-8+2
Combine 24x and -6x to get 18x.
9x^{2}+18x+8+2
Subtract 8 from 16 to get 8.
9x^{2}+18x+10
Add 8 and 2 to get 10.
9x^{2}+24x+16-2\left(3x+4\right)+2
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+4\right)^{2}.
9x^{2}+24x+16-6x-8+2
Use the distributive property to multiply -2 by 3x+4.
9x^{2}+18x+16-8+2
Combine 24x and -6x to get 18x.
9x^{2}+18x+8+2
Subtract 8 from 16 to get 8.
9x^{2}+18x+10
Add 8 and 2 to get 10.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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