Question

if x - y = 5 and xy = 7 find the value of x^3 - y^3​

Answer 1

Answer:

230

Step-by-step explanation:

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

so we need find the value of x^2+y^2

so (x-y) ^2= x^2+y^2-2xy

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

=25+14=39

so

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

=5*(39+7)

=5*46=230