How do you factor #2r^3 + 250#?

1 Answer
Mar 28, 2018

Answer:

# 2r^3 + 250 = 2(r + 5)(r^2 - 5r + 25)#

Explanation:

#2r^3 and 250#

#"Q."# What is the common term?
#"A." 2#

Factor it out:
#2r^3 + 250 = 2(r^3 + 125) = 2(r^3 + 5^3)#

This reminds us of this polynomial identity : #(a^3 + b^3) = (a + b)(a^2 - ab + b^2) =>#

# 2(r^3 + 5^3) = 2(r + 5)(r^2 - 5r + 25)#