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

1. Aug 28, 2011

### davie08

1. The problem statement, all variables and given/known data
simplify each expression: 2(4-h)^2-32/h

2. Relevant equations

3. The attempt at a solution

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

2. Aug 28, 2011

### ArcanaNoir

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

3. Aug 28, 2011

### davie08

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

4. Aug 28, 2011

### ArcanaNoir

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

or

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

5. Aug 28, 2011

### ArcanaNoir

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

6. Aug 28, 2011

### davie08

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

7. Aug 28, 2011

### 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 $$2(16-8h+h^2)-\frac{32}{h}$$

8. Aug 28, 2011

### davie08

its the first one.

9. Aug 28, 2011

### ArcanaNoir

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