Question

how to solve this thing (x³+y³) (x²-xy+y²)

Answer 1

Step-by-step explanation:

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

Taking the RHS,

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

xy + y²)

= x³ - x²y + xy² + x²y - xy² + y³

= x³ + y³ = LHS

ii) x² - y³ = (x - y) (x² + xy + y²)

Taking the RHS,

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

+ xy + y²)

= x³ + x²y + xy² - x²y - xy² - y²

= x³ - y³ = LHS

Hence, verified.