Question

factorise x^4-10x^2y^2+25y^4​

Answer 1

Answer:

We can express the given expression x4 - 10x2y2 + 25y4 as a2 - 2ab + b2

= (x2)2 - 2 (x2) (5y2) + (5y2)2

Now it’s in the form of the formula of a2 + 2ab + b2 = (a + b)2 then we get,

= (x2 - 5y2)2

= (x2 – 5y2) (x2 – 5y2)

Answer 2

Answer:

(x^2-5y^2)^2

Step-by-step explanation:

transform the equation to make all exponentials 2

x^(2x2)-2x^2 X 5y^2+5y^(2x2)

Then transform the (2x2)

(x^2)^2-2x^2 X 5y^2+5(y^2)^2

use a^2-2ab+b^2= (a-b)^2 to factor the expression

(x^2-5y^2)2