Evaluate
8x^{2}-16x+10
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8x^{2}-16x+10
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4x^{2}-4x+1+\left(2x-3\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-1\right)^{2}.
4x^{2}-4x+1+4x^{2}-12x+9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-3\right)^{2}.
8x^{2}-4x+1-12x+9
Combine 4x^{2} and 4x^{2} to get 8x^{2}.
8x^{2}-16x+1+9
Combine -4x and -12x to get -16x.
8x^{2}-16x+10
Add 1 and 9 to get 10.
4x^{2}-4x+1+\left(2x-3\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-1\right)^{2}.
4x^{2}-4x+1+4x^{2}-12x+9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-3\right)^{2}.
8x^{2}-4x+1-12x+9
Combine 4x^{2} and 4x^{2} to get 8x^{2}.
8x^{2}-16x+1+9
Combine -4x and -12x to get -16x.
8x^{2}-16x+10
Add 1 and 9 to get 10.
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Limits
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