Evaluate
3\left(x-2\right)^{2}-2
Expand
3x^{2}-12x+10
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3\left(x^{2}-4x+4\right)-2
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
3x^{2}-12x+12-2
Use the distributive property to multiply 3 by x^{2}-4x+4.
3x^{2}-12x+10
Subtract 2 from 12 to get 10.
3\left(x^{2}-4x+4\right)-2
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
3x^{2}-12x+12-2
Use the distributive property to multiply 3 by x^{2}-4x+4.
3x^{2}-12x+10
Subtract 2 from 12 to get 10.
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