factor 27a^3 + 8b^6

Question

binomial and trinomial product

Answer 1

If you realize that the first term is the cube of monomial (3a) and the second term is the cube of (2b²)

then you can apply the SUM OF CUBES factoring rule.

Answer 2

A³ + B³ = (A + B)(A² - AB + B²)

 

27a³ + 8b⁶ = (3a)³ + (2b²)³ = (3a + 2b²)[(3a)² - (3a)(2b²) + (2b²)²]

 

                                       = (3a + 2b²)(9a² - 6ab² + 4b⁴)