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

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Answer 1 · 2018-03-28T08:04:00

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

$2r^3 and 250$

$"Q."$ 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 : $(a^3 + b^3) = (a + b)(a^2 - ab + b^2) =>$

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

How do you factor 2r^3 + 2502r^3 + 250?