1. ## help!

can anyone simplify this:

(a2b3c)(a3b-4c2d)
also:
LogV=(w) log T
pz

make w the subject when:
V=25
P=1.34
Z=37.62
T=20

2. Hello, jenko!

Simplify: .$\displaystyle (a^2b^3c)(a^3b - 4c^2d)$
Well, we can multiply it out: .$\displaystyle a^5b^4c - 4a^2b^3c^3d$

$\displaystyle \log(V) \:=\:\frac{w}{pz}\log(T)$

Make $\displaystyle w$ the subject when: .$\displaystyle V=25,\;p=1.34,\;Z=37.62,\;T=20$

The answer i had was 54.165 . . . Is this correct? . . . . Yes!
I would solve for $\displaystyle w$ first . . .

We have: .$\displaystyle \frac{w}{pz}\log(T) \:=\:\log(V)\quad\Rightarrow\quad w \:=\:\frac{pz\log(V)}{\log(T)}$

Then: .$\displaystyle w \;=\;\frac{(1.34)(37.62)\log(25)}{\log(20)} \;=\;54.16575669$

. . Good work!

3. (a2b3c)(a3b-4c2d)

this is the right equation sorry!

4. Originally Posted by jenko
(a2b3c)(a3b-4c2d)

this is the right equation sorry!
$\displaystyle (a2b3c)(a3b-4c2d) = 18a^2b^2c - 48a^2bc^2d$