Question

Factor. 4m6−16p10 (2m3−4p5)(2m3+4p5) (2m3−4p5)2 (2m3−4p5)(2m3−4p5) (2m3+4p5)2

Answer 1

I think the answer is
8(3m-80p×(6m-20p)^3×(6m+20p)^2)

Answer 2

`\text{The factored form is }(2m^3-4p^5)(2m^3+4p^5)`

Explanation:

`\text{Given the expression }4m^6−16p^(10)`

we have to factor the above expression.

`4m^6-16p^(10)`

`(2m^3)^2-(4p^5)^2`

Using the identity

`a^2-b^2=(a-b)(a+b)`

`\text{Put }a=2m^3, b=4p^5`

`(2m^3)^2-(4p^5)^2=(2m^3-4p^5)(2m^3+4p^5)`

which is required factored form.

Option 1 is correct.