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