How do you simplify (x^3)(x^2 - 3)(3x + 1)?

1 Answer
Dec 10, 2015

3x^6+x^5-9x^2-3x

Explanation:

Given: x^3(x^2-3)(3x+1).....................(1)

Consider: x^3(x^2-3)

This is x^5-3x^.................................(2)

Substitute (2) into (1) giving:
(color(blue)(x^5-3x))(color(brown)(3x+1))

color(blue)(x^5color(brown)((3x+1))-3xcolor(brown)((3x+1))

3x^6+x^5-9x^2-3x