Question

factorise the following value and find the value of the variables

​

Answer 1

Answer:

(x+y)(x²-xy+y²)

Step-by-step explanation:

(x^6-y^6)/(x³ - y³) = [(x³)² - (y³)²]/(x³ - y³)

=(x³ + y³)(x³ - y³) / (x³ - y³)  ............using the identity a²-b²=(a+b)(a-b)

=(x³ + y³)  ...........cancelling (x³ - y³) from both numerator and denominator

=(x+y)(x²-xy+y²)