Evaluate
6\left(\left(k+1\right)\left(k+2\right)^{2}+4\right)
Expand
6k^{3}+30k^{2}+48k+48
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24+6\left(k+1\right)\left(k^{2}+4k+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(k+2\right)^{2}.
24+\left(6k+6\right)\left(k^{2}+4k+4\right)
Use the distributive property to multiply 6 by k+1.
24+6k^{3}+30k^{2}+48k+24
Use the distributive property to multiply 6k+6 by k^{2}+4k+4 and combine like terms.
48+6k^{3}+30k^{2}+48k
Add 24 and 24 to get 48.
24+6\left(k+1\right)\left(k^{2}+4k+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(k+2\right)^{2}.
24+\left(6k+6\right)\left(k^{2}+4k+4\right)
Use the distributive property to multiply 6 by k+1.
24+6k^{3}+30k^{2}+48k+24
Use the distributive property to multiply 6k+6 by k^{2}+4k+4 and combine like terms.
48+6k^{3}+30k^{2}+48k
Add 24 and 24 to get 48.
Examples
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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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