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55\left(a^{2}p^{2}x+2a^{2}p^{3}x^{2}-4a^{2}p^{4}x^{3}\right)
Factor out 55.
a^{2}p^{2}x\left(1+2px-4p^{2}x^{2}\right)
Consider a^{2}p^{2}x+2a^{2}p^{3}x^{2}-4a^{2}p^{4}x^{3}. Factor out a^{2}p^{2}x.
55a^{2}p^{2}x\left(1+2px-4p^{2}x^{2}\right)
Rewrite the complete factored expression.