Evaluate
\frac{7\left(x-2\right)^{2}}{2}-2
Expand
\frac{7x^{2}}{2}-14x+12
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\frac{7}{2}\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}.
\frac{7}{2}x^{2}-14x+14-2
Use the distributive property to multiply \frac{7}{2} by x^{2}-4x+4.
\frac{7}{2}x^{2}-14x+12
Subtract 2 from 14 to get 12.
\frac{7}{2}\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}.
\frac{7}{2}x^{2}-14x+14-2
Use the distributive property to multiply \frac{7}{2} by x^{2}-4x+4.
\frac{7}{2}x^{2}-14x+12
Subtract 2 from 14 to get 12.
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