How do you find the product #(8a^2-9b^3)(8a^2+9b^3)#?

1 Answer
Feb 25, 2017

Answer:

See the entire solution process below:

Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

#(color(red)(8a^2) - color(red)(9b^3))(color(blue)(8a^2) + color(blue)(9b^3))# becomes:

#(color(red)(8a^2) xx color(blue)(8a^2)) + (color(red)(8a^2) xx color(blue)(9b^3)) - (color(red)(9b^3) xx color(blue)(8a^2)) - (color(red)(9b^3) xx color(blue)(9b^3))#

#64a^4 + 72a^2b^3 - 72a^2b^3 - 81b^6#

We can now combine like terms:

#64a^4 + (72 - 72)a^2b^3 - 81b^6#

#64a^4 + 0a^2b^3 - 81b^6#

#64a^4 - 81b^6#