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

1 Answer
Tony B
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#

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