Evaluate
6\pi \left(2x+3\right)^{2}
Expand
24\pi x^{2}+72\pi x+54\pi
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2\pi \left(12x^{2}+12x+9+24x+18\right)
Combine 4x^{2} and 8x^{2} to get 12x^{2}.
2\pi \left(12x^{2}+36x+9+18\right)
Combine 12x and 24x to get 36x.
2\pi \left(12x^{2}+36x+27\right)
Add 9 and 18 to get 27.
24\pi x^{2}+72\pi x+54\pi
Use the distributive property to multiply 2\pi by 12x^{2}+36x+27.
2\pi \left(12x^{2}+12x+9+24x+18\right)
Combine 4x^{2} and 8x^{2} to get 12x^{2}.
2\pi \left(12x^{2}+36x+9+18\right)
Combine 12x and 24x to get 36x.
2\pi \left(12x^{2}+36x+27\right)
Add 9 and 18 to get 27.
24\pi x^{2}+72\pi x+54\pi
Use the distributive property to multiply 2\pi by 12x^{2}+36x+27.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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