Question

Eliminate x and y from x-y =a, x2-y2=b2, x3-y3=c3

Answer 1

Step-by-step explanation:

x-y=a

x2-y2=b2

(x+y)(x-y)=b2

(x+y)a=b2

x3-y3=c3

(x-y)(x2+y2+xy)=c3

a{(x+y)2-2xy+xy}=c3

a{(x+y)^2-xy}=c^3

a(x+y)(x+y)-axy=c3

b2(x+y)-axy=c3

b2*b2/a-axy=c3

b4/a-axy=c3

(b4-a^2xy)/a=c3

b4-a2xy=ac3