Question

What is the factored form of b^3 - 1000

A. (b + 10)(b^2 -10b + 100)
B. (b - 10)(b^2 + 10b + 100)
C. (b - 10)(10b^2 + b + 100)
D. (b + 10)(10b^2 - b + 100)

Answer 1

B

Explanation:

a³ - b³ = (a -b)(a² +ab +b²)

b³ - 1000 = b³ - 10³

= (b - 10)(b² + 10b +10²)

= (b -10)(b² + 10b + 100)