Evaluate
8\left(x+2\right)^{3}+\left(x-2\right)^{2}
Expand
8x^{3}+49x^{2}+92x+68
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8x^{3}+48x^{2}+96x+64+\left(x-2\right)^{2}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2x+4\right)^{3}.
8x^{3}+48x^{2}+96x+64+x^{2}-4x+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
8x^{3}+49x^{2}+96x+64-4x+4
Combine 48x^{2} and x^{2} to get 49x^{2}.
8x^{3}+49x^{2}+92x+64+4
Combine 96x and -4x to get 92x.
8x^{3}+49x^{2}+92x+68
Add 64 and 4 to get 68.
8x^{3}+48x^{2}+96x+64+\left(x-2\right)^{2}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2x+4\right)^{3}.
8x^{3}+48x^{2}+96x+64+x^{2}-4x+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
8x^{3}+49x^{2}+96x+64-4x+4
Combine 48x^{2} and x^{2} to get 49x^{2}.
8x^{3}+49x^{2}+92x+64+4
Combine 96x and -4x to get 92x.
8x^{3}+49x^{2}+92x+68
Add 64 and 4 to get 68.
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