Question

H.C.F. of polynomials x2-y2 and x3-y3 is

Answer 1

${x}^{2} - {y}^{2} = (x - y)(x + y) \\ {x}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2} )$
This is answer......

Answer 2

Answer:

The H.C.F. of polynomials x2-y2 and x3-y3 is (x-y).

Step-by-step explanation:

The given expressions are

$x^2-y^2$

$x^3-y^3$

The factor of given expression are

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

$x^3-y^3=(x-y)(x^2+xy+y^2$

In both expressions, (x-y) is common factor.

$H.C.F. =x-y$

Therefore H.C.F. of polynomials x2-y2 and x3-y3 is (x-y).