Expand
5x^{2}-20x+12
Evaluate
5\left(x-2\right)^{2}-8
Graph
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5\left(x^{2}-4x+4\right)-8
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
5x^{2}-20x+20-8
Use the distributive property to multiply 5 by x^{2}-4x+4.
5x^{2}-20x+12
Subtract 8 from 20 to get 12.
5\left(x^{2}-4x+4\right)-8
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
5x^{2}-20x+20-8
Use the distributive property to multiply 5 by x^{2}-4x+4.
5x^{2}-20x+12
Subtract 8 from 20 to get 12.
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