How do you find the product (a-2b)^2?

1 Answer
Jim G.
Apr 5, 2017

a^2-4ab+4b^2

Explanation:

Note: (a-2b)^2=(a-2b)(a-2b)

Each term in the second bracket must be multiplied by each term in the first bracket. This is shown below.

(color(red)(a-2b))(a-2b)

=color(red)(a)(a-2b)color(red)(-2b)(a-2b)

distribute and collect like terms.

=a^2color(magenta)(-2ab)color(magenta)(-2ab)+4b^2

=a^2-4ab+4b^2

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