Expand
27x^{3}-107x^{2}+148x-60
Evaluate
\left(3x-4\right)^{3}+\left(x+2\right)^{2}
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27x^{3}-108x^{2}+144x-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(3x-4\right)^{3}.
27x^{3}-108x^{2}+144x-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}.
27x^{3}-107x^{2}+144x-64+4x+4
Combine -108x^{2} and x^{2} to get -107x^{2}.
27x^{3}-107x^{2}+148x-64+4
Combine 144x and 4x to get 148x.
27x^{3}-107x^{2}+148x-60
Add -64 and 4 to get -60.
27x^{3}-108x^{2}+144x-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(3x-4\right)^{3}.
27x^{3}-108x^{2}+144x-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}.
27x^{3}-107x^{2}+144x-64+4x+4
Combine -108x^{2} and x^{2} to get -107x^{2}.
27x^{3}-107x^{2}+148x-64+4
Combine 144x and 4x to get 148x.
27x^{3}-107x^{2}+148x-60
Add -64 and 4 to get -60.
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