How do you find the product of $(7y - 8)^2$ ?

Question

2112 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-29T00:32:51

See the entire solution process below:

First, we can rewrite this expression as:

$(7y - 8)(7y - 8)$

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

$(color(red)(7y) - color(red)(8))(color(blue)(7y) - color(blue)(8))$ becomes:

$(color(red)(7y) xx color(blue)(7y)) - (color(red)(7y) xx color(blue)(8)) - (color(red)(8) xx color(blue)(7y)) + (color(red)(8) xx color(blue)(8))$

$49y^2 - 56y - 56y + 64$

We can now combine like terms:

$49y^2 + (-56 - 56)y + 64$

$49y^2 - 112y + 64$

How do you find the product of (7y - 8)^2(7y - 8)^2?