C-03-Q139mediumsingle_mcqFactorize x2+xy−2y2x^2 + xy - 2y^2x2+xy−2y2:a(x−y)(x+2y)(x-y)(x+2y)(x−y)(x+2y)b(x+y)(x−2y)(x+y)(x-2y)(x+y)(x−2y)c(x−y)(x−2y)(x-y)(x-2y)(x−y)(x−2y)d(x+y)(x+2y)(x+y)(x+2y)(x+y)(x+2y)ব্যাখ্যাSplitting the middle term xy=2xy−xyxy = 2xy - xyxy=2xy−xy gives x2+2xy−xy−2y2=x(x+2y)−y(x+2y)=(x−y)(x+2y)x^2+2xy-xy-2y^2 = x(x+2y)-y(x+2y) = (x-y)(x+2y)x2+2xy−xy−2y2=x(x+2y)−y(x+2y)=(x−y)(x+2y). The factors' product correctly gives −2y2-2y^2−2y2.