Question

Simplify :-
(3x-2y) (3x+2y) (9x²+4y²)​

Answer 1

`\huge\boxed{\sf 81x^4 - 16y^4}`

Explanation:

Given expression:

= (3x - 2y)(3x + 2y)(9x² + 4y²)

Using formula:

• 
  `(a+b)(a-b)=a^2-b^2`

= [(3x)² - (2y)²] (9x² + 4y²)

= (9x² - 4y²)(9x² + 4y²)

Using the above formula again

= (9x²)² - (4y²)²

= 81x⁴ - 16y⁴

`\rule[225]{225}{2}`