Question

Factorise x square-2(a square+b square) x+(a square-b square) whole square

Answer 1

Answer:

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

Step-by-step explanation:

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

by splitting 2nd term and expanding 3rd term

$x^2-2(a^2+b^2)x+(a^2-b^2)^2\\x^2-(a^2+b^2)x-(a^2+b^2)x+(a^2-b^2)(a^2+b^2)\\x[x-(a^2+b^2)]-(a^2+b^2)[x-(a^2-b^2)]\\(x-(a^2+b^2))(x-(a^2-b^2))$