Question

(2x+3y)³ - (2x-3y)³​

Answer 1

(a+b)³= a³+b³ +3ab (a+b)

(a-b)³ = a³-b³ -3ab (a-b)

(2x+3y)³ - (2x-3y)³

{8x³ +27y³ +18xy(2x+3y)} - { 8x³-27y³ -18xy(2x-3y)}

8x³ +27y³ +18xy(2x+3y) - 8x³ +27y³ +18xy(2x-3y)

2×27y³ +36x²y + 54xy² +36x²y-54xy²

54y³ +36x²y+36x²y

54y³+72x²y

3y(18y² + 24x² )

9y(6y²+8x² )

18y(3y²+4x²)

Answer 2

72x²y + 54y³ is the answer.