Answer:
the factor will be [tex](2xy^2+5x^2z^3)(2xy^2-5x^2z^3)[/tex]
Step-by-step explanation:
We have given the expression [tex]4x^2y^4-25x^4z^6[/tex]
We know the algebraic identity [tex]a^2-b^2=(a+b)(a-b)[/tex]
[tex]4x^2y^4-25x^4z^6[/tex] can be written as [tex]4x^2y^4-25x^4z^6=(2xy^2)^2-(5x^2z^3)^2[/tex]
Now using the above identity [tex](2xy^2)^2-(5x^2z^3)^2=(2xy^2+5x^2z^3)(2xy^2-5x^2z^3)[/tex]
So the factor will be [tex](2xy^2+5x^2z^3)(2xy^2-5x^2z^3)[/tex]
