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x+2\left(x^{2}+4x+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x+2x^{2}+8x+8
Use the distributive property to multiply 2 by x^{2}+4x+4.
9x+2x^{2}+8
Combine x and 8x to get 9x.
x+2\left(x^{2}+4x+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x+2x^{2}+8x+8
Use the distributive property to multiply 2 by x^{2}+4x+4.
9x+2x^{2}+8
Combine x and 8x to get 9x.