Evaluate
10x^{2}-48x+72
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10x^{2}-48x+72
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36-12x+x^{2}+\left(3x-6\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(6-x\right)^{2}.
36-12x+x^{2}+9x^{2}-36x+36
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-6\right)^{2}.
36-12x+10x^{2}-36x+36
Combine x^{2} and 9x^{2} to get 10x^{2}.
36-48x+10x^{2}+36
Combine -12x and -36x to get -48x.
72-48x+10x^{2}
Add 36 and 36 to get 72.
36-12x+x^{2}+\left(3x-6\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(6-x\right)^{2}.
36-12x+x^{2}+9x^{2}-36x+36
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-6\right)^{2}.
36-12x+10x^{2}-36x+36
Combine x^{2} and 9x^{2} to get 10x^{2}.
36-48x+10x^{2}+36
Combine -12x and -36x to get -48x.
72-48x+10x^{2}
Add 36 and 36 to get 72.
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