52.3k views
2 votes
2. Resolve into factors.
a) 8x3 + y3​

User Desty
by
7.2k points

1 Answer

7 votes

Answer:

(2x + y)(4x² - 2xy + y²)

Explanation:

8x³ + y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²) , then

8x³ + y³

= (2x)³ + y³

= (2x + y)((2x)² - 2xy + y²) , that is

(2x + y)(4x² - 2xy + y²)

User Ten
by
7.2k points