Evaluate
\left(x+2\right)\left(2x-1\right)^{2}
Expand
4x^{3}+4x^{2}-7x+2
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\left(4x^{2}-4x+1\right)\left(x+2\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-1\right)^{2}.
4x^{3}+4x^{2}-7x+2
Use the distributive property to multiply 4x^{2}-4x+1 by x+2 and combine like terms.
\left(4x^{2}-4x+1\right)\left(x+2\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-1\right)^{2}.
4x^{3}+4x^{2}-7x+2
Use the distributive property to multiply 4x^{2}-4x+1 by x+2 and combine like terms.
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