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

1 Answer
smendyka
Feb 11, 2017

See the entire solution process below.

Explanation:

We can rewrite this express as:

(2x + 3v)(2x + 3v)

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

(color(red)(2x) + color(red)(3v))(color(blue)(2x) + color(blue)(3v)) becomes:

(color(red)(2x) xx color(blue)(2x)) + (color(red)(2x) xx color(blue)(3v)) + (color(red)(3v) xx color(blue)(2x)) + (color(red)(3v) xx color(blue)(3v))

4x^2 + 6xv + 6xv + 9v^2

We can now combine like terms:

4x^2 + (6 + 6)xv + 9v^2

4x^2 + 12xv + 9v^2

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