How do you multiply (4u-1)^2?

1 Answer
Jan 16, 2017

16u^2-8u+1

Explanation:

We can express (4u-1)^2" as " (4u-1)(4u-1)

We must ensure that each term in the second bracket is multiplied by each term in the first bracket.This is illustrated as follows.

(color(red)(4u-1))(4u-1)

=color(red)(4u)(4u-1)color(red)(-1)(4u-1)

distributing the brackets.

16u^2-4u-4u+1

collecting like terms.

=16u^2-8u+1