Question

How do you find the product of `(c+6)^2`?

Answer 1

See a solution process below:

Explanation:

We can use this rule for quadratics to find the product of the term in the problem:

`(color(red)(x) + color(blue)(y))^2 = color(red)(x)^2 + 2color(red)(x)color(blue)(y) + color(blue)(y)^2`

Substituting `c` for `color(red)(x)` and `6` for `color(blue)(y)` gives:

`(color(red)(c) + color(blue)(6))^2 => color(red)(c)^2 + (2 * color(red)(c) * color(blue)(6)) + color(blue)(6)^2 => c^2 + 12c + 36`