Bmthorizon9407 Bmthorizon9407
  • 21-10-2019
  • Mathematics
contestada

Factor 4x²y⁴ − 25x⁴z⁶

Respuesta :

aristeus aristeus
  • 24-10-2019

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]

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