# Thread: How do I expand and simplify the following?

1. ## How do I expand and simplify the following?

a) (u - v + 3w)(2u + 5w)

b) (2x + y)(3x -2y)(x + 5y)

2. Originally Posted by brumby_3
a) (u - v + 3w)(2u + 5w)

b) (2x + y)(3x -2y)(x + 5y)
You sure that's the original problems?
Seem to be fully simplified as they are now...

3. Originally Posted by brumby_3

Expand and simplify:

a) (u - v + 3w)(2u + 5w)

b) (2x + y)(3x -2y)(x + 5y)
Hi brumby_3,

a) $(u-v+3w)(2u+5w)=$

$2u(u-v+3w)+5w(u-v+3w)=$

$2u^2-2uv+6uw+5uw-5vw+15w^2$

Just combine like terms and it's simplified.

b) $(2x+y)(3x-2y)(x+5y)=$

$(6x^2-xy-2y^2)(x+5y)=$

$x(6x^2-xy-2y^2)+5y(6x^2-xy-2y^2)=$

Now, just finish distributing, combine any like terms and it's simplified.

4. (u - v + 3w)(2u + 5w)

2u^2 - 2uv + 11uw - 5vw + 15w^2

So the 2nd one is considered the simplified version?

5. Originally Posted by Wilmer
(u - v + 3w)(2u + 5w)

2u^2 - 2uv + 11uw - 5vw + 15w^2

So the 2nd one is considered the simplified version?
The question is : expand and simplify

6. Originally Posted by running-gag
The question is : expand and simplify
Since when does expanding automatically create simplification?

7. Originally Posted by Wilmer
Since when does expanding automatically create simplification?
Technically when all the parentheses are gone.