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

1 Answer
Jun 26, 2017

u2+14uv+49v2

Explanation:

(u+7v)(u+7v)

You proceed to FOIL it:

Where you multiply the first term with the outer term then you multiply the first term with the inner term:

(u)(u)=u2

(u)(7v)=7uv

Now you multiply the last term with the outer term then you multiply the last term with the inner term:

(7v)(u)=7uv

(7v)(7v)=49v2

Now combine them:

u2+7uv+7uv+49v2

Simplify:

u2+14uv+49v2