Answer:
[tex]\text{The factored form is }(2m^3-4p^5)(2m^3+4p^5)[/tex]
Step-by-step explanation:
[tex]\text{Given the expression }4m^6−16p^{10}[/tex]
we have to factor the above expression.
[tex]4m^6-16p^{10}[/tex]
[tex](2m^3)^2-(4p^5)^2[/tex]
Using the identity
[tex]a^2-b^2=(a-b)(a+b)[/tex]
[tex]\text{Put }a=2m^3, b=4p^5[/tex]
[tex](2m^3)^2-(4p^5)^2=(2m^3-4p^5)(2m^3+4p^5)[/tex]
which is required factored form.
Option 1 is correct.
