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9x^{2}+12x+10
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9x^{2}+12x+10
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x^{2}+6x+9+\left(4x+1\right)\left(2x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
x^{2}+6x+9+8x^{2}+6x+1
Use the distributive property to multiply 4x+1 by 2x+1 and combine like terms.
9x^{2}+6x+9+6x+1
Combine x^{2} and 8x^{2} to get 9x^{2}.
9x^{2}+12x+9+1
Combine 6x and 6x to get 12x.
9x^{2}+12x+10
Add 9 and 1 to get 10.
x^{2}+6x+9+\left(4x+1\right)\left(2x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
x^{2}+6x+9+8x^{2}+6x+1
Use the distributive property to multiply 4x+1 by 2x+1 and combine like terms.
9x^{2}+6x+9+6x+1
Combine x^{2} and 8x^{2} to get 9x^{2}.
9x^{2}+12x+9+1
Combine 6x and 6x to get 12x.
9x^{2}+12x+10
Add 9 and 1 to get 10.
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Limits
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