Evaluate
\pi \left(2x+7\right)\left(x-3\right)^{2}
Expand
2\pi x^{3}-5\pi x^{2}-24\pi x+63\pi
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\pi \left(x^{2}-6x+9\right)\left(2x+7\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
\left(\pi x^{2}-6\pi x+9\pi \right)\left(2x+7\right)
Use the distributive property to multiply \pi by x^{2}-6x+9.
2\pi x^{3}-5\pi x^{2}-24\pi x+63\pi
Use the distributive property to multiply \pi x^{2}-6\pi x+9\pi by 2x+7 and combine like terms.
\pi \left(x^{2}-6x+9\right)\left(2x+7\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
\left(\pi x^{2}-6\pi x+9\pi \right)\left(2x+7\right)
Use the distributive property to multiply \pi by x^{2}-6x+9.
2\pi x^{3}-5\pi x^{2}-24\pi x+63\pi
Use the distributive property to multiply \pi x^{2}-6\pi x+9\pi by 2x+7 and combine like terms.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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