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Answer:
The expansion of the expression gives;
[tex]=25x^{10}-10x^5y+y^2[/tex]Expansion:
Given the expression:
[tex](5x^5-y)^2[/tex]We want to expand;
[tex]\begin{gathered} (5x^5-y)^2 \\ =(5x^5-y)(5x^5-y) \\ =5x^5(5x^5-y)-y(5x^5-y) \\ =5x^5(5x^5)+5x^5(-y)-y(5x^5)-y(-y) \\ =25x^{10}-5x^5y-5x^5y+y^2 \\ =25x^{10}-10x^5y+y^2 \end{gathered}[/tex]Therefore, the expansion of the expression gives;
[tex]=25x^{10}-10x^5y+y^2[/tex]