How do you simplify (u + 7v ) ^ { 2} ?

1 Answer
Jun 26, 2017

u^2+14uv+49v^2

Explanation:

(color(blue)(u)color(darkred)(+7v))(color(red)(u)color(green)(+7v))

You proceed to FOIL it:

Where you multiply the color(blue)"first term" with the color(red)"outer term" then you multiply the color(blue)"first term" with the color(green)"inner term":

(color(blue)(u))(color(red)(u))=u^2

(color(blue)(u))(color(green)(7v))=7uv

Now you multiply the color(darkred)"last term" with the color(red)"outer term" then you multiply the color(darkred)"last term" with the color(green)"inner term":

color(darkred)((7v))(color(red)(u))=7uv

color(darkred)((7v))(color(green)(7v))=49v^2

Now combine them:

u^2+7uv+7uv+49v^2

Simplify:

u^2+14uv+49v^2