How do you factor 2x^3 + 250?

Answer 1

Best Answer - Chosen by Voters

2x³ + 250
2(x³ + 125)
use identity (a³ + b³) = (a + b)(a² – ab + b²)

2(x + 5)(x² – 5x + 25)

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Answer 2

We're given 2x^3 + 250. First, factor out a 2:

2(x^3 + 125)

125 is 5^3, let's rewrite it as such:

2(x^3 + 5^3)

See the inside, x^3 + 5^3? There's a rule, called the sum of cubes. It goes like:

a^3 + b^3 = (a+b)(a^2-ab+b^2)

So, x^3 + 5^3 =

(x+5)(x^2-5x+25)

Remember, we factored out a 2 in the beginning, let's put that back in:

2(x+5)(x^2-5x+25)

Answer 3

2(x^3+125) = 2(x^3+5^3) = 2(x+5)(x^2-5x+25)