Question 35: Collapse \(\begin{aligned} &B=x^{10}+(-x+1) x^{9}+(-x+1) x^{8}+\ldots+(- x+1) x^{2}+(-x+1) x+(-x+1) \end{aligned}\) we get
\(\begin{aligned} &B=x^{10}+(-x+1) x^{9}+(-x+1) x^{8}+\ldots+(-x+1) x^{ 2}+(-x+1) x+(-x+1) \\ &B=x^{10}-x^{10}+x^{9}-x^{9}+x^{8}- x^{8}+\ldots+x^{2}-x^{2}+x-x+1 \\ &B=1 . \end{aligned}\)
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