Question

simplify X + y cube minus x minus y cube​

Answer 1

Step-by-step explanation:

(x+y)³ - (x-y)³

{ a³-b³ = (a-b)(a²+ab+b²)}

(x+y-x+y){(x+y)² +(x+y)(x-y) + (x-y)²}

2y {x²+2xy+y²+x²-y² + x²-2xy + y²}

2y {3x²+y²}

6x²y + 2y³

Answer 2

Given: (x + y)³ - (x - y)³

=> (x³ +3x²y  + 3xy² + y³) - (x³ - 3x²y + 3xy² - y³)

=> x³ + 3x²y + 3xy² + y³ - x³ + 3x²y - 3xy² + y³

=> 6x²y + 2y³

=> 2y(3x² + y²)

Hope his helps!