Question

How do you multiply `(-4m^2-3n)^2`?

Answer 1

See a solution process below:

Explanation:

We can use this rule to multiply this expression:

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

Substituting `color(red)(-4m^2)` for color(red)(x) and substituting `color(blue)(-3n)` for `color(blue)(y)` gives:

`(color(red)(-4m^2) + color(blue)(-3n))^2 =>`

`color(red)((-4m^2))^2 + (2 * color(red)(-4m^2) * color(blue)(-3n)) + color(blue)((-3n))^2 =>`

`16m^4 + 24m^2n + 9n^2`