Question

-. The HCF of x2 - xy - 2y2 and 2x2 - xy - y2 is
(a) (x - y)
(b) (x + y)
(c)(2x - 3y)
(d) None of these​

Answer 1

Step-by-step explanation:

1st expression=x^2-xy-2y^2

=x^2-(2-1)xy-2y^2

=x^2-2xy+xy-2y^2

=x(x-2y)+y(x-2y)

=(x+y)(x-2y)

2nd expression=2x^2-xy-y^2

=2x^2-(2-1)xy-y^2

=2x^2-2xy+xy-y^2

=2x(x-y)+y(x-y)

=2x+y(x-y)

Therfore Ans is d none of above