Question

simplify 3 x minus 2 y whole cube minus 3 X + 2 y whole cube​

Answer 1

Answer:

Answer will be 0

Step-by-step explanation:

(3x-2y)³-(3x+2y)³

=3x³-2y³-3x³+2y³

=3x³-3x³-2y³+2y³

=o

Answer 2

(3x - 2y)³ - (3x + 2y)³ = - 108x²y - 16y³

Given :

The expression (3x - 2y)³ - (3x + 2y)³

To find :

Simplify the given expression

Formula :

• (a + b)³ = a³ + 3a²b + 3ab² + b³

• (a - b)³ = a³ - 3a²b + 3ab² - b³

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

(3x - 2y)³ - (3x + 2y)³

Step 2 of 2 :

Simplify the given expression

(3x - 2y)³ - (3x + 2y)³

$\sf = \{ \: 27 {x}^{3} - 3. {(3x)}^{2} .2y + 3.3x. {(2y)}^{2} - {(2y)}^{3} \} - \{ \: 27 {x}^{3} + 3. {(3x)}^{2} .2y + 3.3x. {(2y)}^{2} + {(2y)}^{3} \}$

$\sf = ( 27 {x}^{3} - 54 {x}^{2} y +36x {y}^{2} - 8 {y}^{3} ) - ( 27 {x}^{3} + 54 {x}^{2} y +36x {y}^{2} + 8 {y}^{3} )$

$\sf = - 108 {x}^{2} y - 16{y}^{3}$