Question

simplify (3x-2y)³+(3x+2y)³​

Answer 1

Answer:

3(2x)(3x² + 4y²)

Step-by-step explanation:

(3x - 2y)³ + (3x + 2y)³​

a³ + b³ = (a + b)(a² - ab + b²)

Here a = 3x - 2y and b= 3x + 2y

(3x - 2y)³+(3x + 2y)³​ = (3x - 2y + 3x + 2y)[(3x - 2y)² - (3x - 2y)(3x + 2y) + (3x + 2y)²]

= 6x [9x² - 12xy + 4y² - (9x² - 4y²) + 9x² + 12xy + 4y²]

=  6x [9x² - 12xy + 4y² - 9x² + 4y² + 9x² + 12xy + 4y²]

= 6x (9x² + 12y²)

= 3(2x)(3x² + 4y²)

Hope this helps! :)