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x^{2}+3x+6
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x^{2}+3x+6
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x^{2}+4x+4-\left(x-2\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{2}+4x+4-x+2
To find the opposite of x-2, find the opposite of each term.
x^{2}+3x+4+2
Combine 4x and -x to get 3x.
x^{2}+3x+6
Add 4 and 2 to get 6.
x^{2}+4x+4-\left(x-2\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{2}+4x+4-x+2
To find the opposite of x-2, find the opposite of each term.
x^{2}+3x+4+2
Combine 4x and -x to get 3x.
x^{2}+3x+6
Add 4 and 2 to get 6.
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Limits
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