Question

Factor completely: 27x^2 -48

Answer 1

3(3x + 4)(3x - 4)

Step-by-step explanation:

The given expression is

27x² - 48

Then, we know that 27 = 3(9) and 48 = 3(16), so we can factorize 3 as

3(9x² - 16)

Now, we have a difference of squares because (3x)² = 9x² and 4² = 16. So, we can factorize it as

3(3x + 4)(3x - 4)

Therefore, the answer is

3(3x + 4)(3x - 4)