C-03-Q123mediumsingle_mcqFactorize x4−6x2y2+y4x^4 - 6x^2 y^2 + y^4x4−6x2y2+y4:a(x2−2xy−y2)(x2+2xy−y2)(x^2 - 2xy - y^2)(x^2 + 2xy - y^2)(x2−2xy−y2)(x2+2xy−y2)b(x2−y2)2(x^2 - y^2)^2(x2−y2)2c(x−y)4(x-y)^4(x−y)4d(x2−3y2)(x2−2y2)(x^2 - 3y^2)(x^2 - 2y^2)(x2−3y2)(x2−2y2)ব্যাখ্যাAdding and subtracting 2x2y22x^2y^22x2y2: x4−6x2y2+y4=(x2−y2)2−4x2y2=(x2−y2)2−(2xy)2x^4 - 6x^2y^2 + y^4 = (x^2-y^2)^2 - 4x^2y^2 = (x^2-y^2)^2 - (2xy)^2x4−6x2y2+y4=(x2−y2)2−4x2y2=(x2−y2)2−(2xy)2. This difference of squares factors as (x2−2xy−y2)(x2+2xy−y2)(x^2-2xy-y^2)(x^2+2xy-y^2)(x2−2xy−y2)(x2+2xy−y2).