Question

simplify ( 2x - 3y)³ - ( 2x+3y)³

Answer 1

( 2x - 3y)³ = 2x³ - 3y³- 3*(2x*3y)*(2x - 3y)

( 2x + 3y)³ = 2x³ + 3y³+ 3*(2x*3y)*(2x + 3y)

( 2x - 3y)³ - ( 2x+3y)³ =
2x³ - 3y³- 3*(2x*3y)*(2x - 3y) - 2x³ - 3y³- 3*(2x*3y)*(2x + 3y)
= -6y³-18xy (-2x +3y - 2x -3y)
= -6y³-18xy (-4x)
= -6y³+ 72y(x^2 )

Answer 2

${(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3}$
${(a - b)}^{ 3} = {a}^{3} - 3ab(a + b) - {b}^{3}$
Refer the image. HOPE IT HELPS.
PLEASE BRAINLIEST.