Simplify each expression: 2(4-h)^2-32/h

[davie08]

Homework Statement

simplify each expression: 2(4-h)^2-32/h

Homework Equations

The Attempt at a Solution

I forget if I should multiply the 2 into the 4-h.

 

[ArcanaNoir]

you can't multiply the 2 into the 4-h until you square the 4-h.
Remember to do (4-h)(4-h).

 

[davie08]

ok with this I eventually got -2(h^2+4h+12)/h , but I feel like I did something wrong.

 

[ArcanaNoir]

was the original expression $$\frac{2(4-h)^2-32}{h}$$

or

$$2(4-h)^2-\frac{32}{h}$$?

 

[ArcanaNoir]

Either way, make sure $$(4-h)(4-h)=16-8h+h^2$$

 

[davie08]

would it just equal -16. Heres where I would have screwed up I am at 2(16-8h+h^2)-32/h or would it be 2+16-8h+h^2-32/h

 

[ArcanaNoir]

it would be 2(16-8h+h^2)-32/h

but I'm still not clear if its $$\frac{2(16-8h+h^2)-32}{h}$$
or $$2(16-8h+h^2)-\frac{32}{h}$$

 

[davie08]

its the first one.

 

[ArcanaNoir]

okay, then distribute the 2, then cancel an h... and voila! :)