365,718 views
5 votes
5 votes
125 + (a-b)³ help me​

User Zserge
by
2.5k points

1 Answer

16 votes
16 votes

Answer:

(5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

Explanation:

125 + (a - b)³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

Then

125 + (a- b)³

= 5³ + (a - b)³

with a = 5 and b = (a - b)

= (5 a a - b)(5² - 5(a - b) + (a - b)² )

= (5 + a - b)(25 - 5a + 5b + a² - 2ab + b²)

= (5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

User Krizzo
by
3.0k points