Factorize completely: 27x\(^2\) - 48y\(^2\)
A
3(3x + 4y)(3x - 4y)
B
3(3x + 4y)(3x + 4y)
C
3(9x - 16y)(9x + 16y)
D
3(9x - 16y)(9x - 16y)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
27x\(^2\) - 48y\(^2\) = 3(9x\(^2\) - 16y\(^2\))
difference of two squares
3((3x)\(^2\) - (4y)\(^2\)) = 3((3x - 4y)(3x + 4y))
Source: Myschool Past Questions Archive (Record #71822)