Answer: Provided the expression, we have to solve the two parts of the question related to the expression:
[tex]5x^{10}-80x^2\Rightarrow(1)[/tex](A) Rewriting the expression by factoring out the greatest common factor:
[tex]\begin{gathered} 5x^{10}-80x^2=5\times x^2\times x^8-5\times16\times x^2 \\ \\ \text{ GCF }\Rightarrow5x^2 \\ \\ \therefore\rightarrow \\ \\ 5x^{10}-80x^2=5x^2(x^8-16)\Rightarrow\text{ \lparen A\rparen} \end{gathered}[/tex](B) Complete factorization:
[tex]\begin{gathered} 5x^{10}-80x^2=5x^2(x^8-16)\Rightarrow\text{ \lparen B\rparen} \\ \end{gathered}[/tex]