Question

factorize 8+x^3+y^3-6xy

Answer 1

Answer:

1 - 8x³ + y³ + 6xy => ( 2x - y - 1 ) × ( 4x² + y² + 1 + 2xy - y + 2x )

Step-by-step explanation:

Given Equation : 1 - 8x³ + y³ + 6xy

Solution :

1 - 8x³ + y³ + 6xy

8x³ - y³ - 6xy - 1

( 2x )³ + ( -y )³ + ( -1 )³ - 6xy

Note : x³ + y³ + z³ - 3xyz = (x + y + z) (x² + y² + z² - xy - yz - zx)

( 2x - y - 1 ) × ( 4x² + y² + 1 + 2xy - y + 2x )