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

1 Answer
smendyka
Jan 7, 2017

See full explanation below:

Explanation:

This expression can be rewritten as:

#(color(red)(x^3 + 1))(color(blue)(x^3 + 1))#

We can next cross multiply each term in the parenthesis on the left by each term in the parenthesis on the right:

#(color(red)(x^3) xx color(blue)(x^3)) + (color(red)(x^3) xx color(blue)(1)) + (color(red)(1) xx color(blue)(x^3)) + (color(red)(1) xx color(blue)(1)) ->#

#x^6 + x^3 + x^3 + 1#

Now we can combine like terms:

#x^6 + 2x^3 + 1#

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