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x^{2}+28x+68
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x^{2}+28x+68
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2\left(x^{2}+12x+36\right)-\left(x-2\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
2x^{2}+24x+72-\left(x-2\right)^{2}
Use the distributive property to multiply 2 by x^{2}+12x+36.
2x^{2}+24x+72-\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}.
2x^{2}+24x+72-x^{2}+4x-4
To find the opposite of x^{2}-4x+4, find the opposite of each term.
x^{2}+24x+72+4x-4
Combine 2x^{2} and -x^{2} to get x^{2}.
x^{2}+28x+72-4
Combine 24x and 4x to get 28x.
x^{2}+28x+68
Subtract 4 from 72 to get 68.
2\left(x^{2}+12x+36\right)-\left(x-2\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
2x^{2}+24x+72-\left(x-2\right)^{2}
Use the distributive property to multiply 2 by x^{2}+12x+36.
2x^{2}+24x+72-\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}.
2x^{2}+24x+72-x^{2}+4x-4
To find the opposite of x^{2}-4x+4, find the opposite of each term.
x^{2}+24x+72+4x-4
Combine 2x^{2} and -x^{2} to get x^{2}.
x^{2}+28x+72-4
Combine 24x and 4x to get 28x.
x^{2}+28x+68
Subtract 4 from 72 to get 68.
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Limits
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