Question

The h.c.f of x^4-y^4 and (x^2+y^2)h

Answer 1

Answer:

-(x2 - y2)

Step-by-step explanation:

..............

Answer 2

Answer:

x²+y²

Step-by-step explanation:

x⁴-y⁴=(x²+y²)(x²-y²) {Using the identity a²-b²=(a+b)(a-b)}

=(x²+y²)(x+y)(x-y). {Using the same identity}

(x²+y²) has only 1 factor,i.e., (x²+y²)

Hence, their HCF is (x²+y²).