Simplify: (2x + 3y) ³– (2x – 3y)³
( Using the formula a ³– b³)
Answers
Answered by
1
Step-by-step explanation:
As we know,
a³-b³=(a-b)(a²+ab+b²)
Here, a = 2x + 3y, b = 2x - 3y
Now, (2x + 3y)³ - (2x - 3y)³
= (2x + 3y -2x + 3y) [ (2x+3y)² + (2x +3y)(2x-3y) + (2x-3y)²]
= 6y²[ 4x² + 9y² + 12xy + 4x² - 9y² + 4x² + 9y² - 12xy]
= 6y²[ 12x² + 9y²]
= 72x²y² + 54y⁴
Hope it helps. mark me as Brainliest if you liked it.
Similar questions