Evaluate
\left(a-x\right)^{2}+x^{2}
Expand
2x^{2}-2ax+a^{2}
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x^{2}+a^{2}-2ax+x^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-x\right)^{2}.
2x^{2}+a^{2}-2ax
Combine x^{2} and x^{2} to get 2x^{2}.
x^{2}+a^{2}-2ax+x^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-x\right)^{2}.
2x^{2}+a^{2}-2ax
Combine x^{2} and x^{2} to get 2x^{2}.
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