Question

factorise: x^4-625y^4​

Answer 1

Answer:

$x^4-625y^4=(x+5y)(x-5y)(x^2+5y^2)$

Step-by-step explanation:

$x^4-625y^4\\ \\ (x^2)^{2} -(25y^2)^{2}$

We know that,

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

                      $(x^2)^{2} -(25y^2)^{2}\\ \\( x^2-25y^2)(x^2+25y^2)$

$(x^2)-(25y^2)$ can be written as

$(x+5y)(x-5y)$

so,

  $(x+5y)(x-5y)(x^2+5y^2)$