Which is the correct factor analysis of 2√2x³ + 125?

Which is the correct factor analysis of 2√2x³ + 125?

A (√2x + 5)(2x² - 5√2x - 25)

B (√2x + 5)(2x² - 5√2x + 25)

C (√2x + 5)(2x² + 5√2x - 25)

D (√2x - 5)(2x² - 5√2x - 25)

Solution

Correct Answer: Option B

2√2x³ + 125
=(√2x)³+(5)³
=(√2x+5){(√2x)²-√2x.5+(5)²}
=(√2x+5)(2x²-5√2x+25)