Question

How do you find the product of `(7x-6)^2`?

Answer 1

See a solution process below:

Explanation:

We can use this special rule for quadratics:

`(color(red)(a) - color(blue)(b))^2 = color(red)(a)^2 - 2color(red)(a)color(blue)(b) + color(blue)(b)^2`

Substituting:

• `color(red)((7x))` for `color(red)(a)`

• `color(blue)(6)` for `color(blue)(b)`

Gives:

`(color(red)((7x)) - color(blue)(6))^2 => color(red)((7x))^2 - (2 * color(red)((7x)) * color(blue)(6)) + color(blue)(6)^2 =>`

`49x^2 - 84x + 36`