SOLUTION: hi there, I am trying to simplify the following expression s=u.(v-u)/a + 1/2a((v-u)/a)^2 it should end up as v^2=u^2+2as please help beacuse I cant seam to get it to c

Algebra ->  Expressions -> SOLUTION: hi there, I am trying to simplify the following expression s=u.(v-u)/a + 1/2a((v-u)/a)^2 it should end up as v^2=u^2+2as please help beacuse I cant seam to get it to c      Log On


   

Question 93220: hi there,
I am trying to simplify the following expression
s=u.(v-u)/a + 1/2a((v-u)/a)^2
it should end up as v^2=u^2+2as
please help beacuse I cant seam to get it to come out, I have expanded the brackets but still no joy.
thankyou
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
start by multiplying by 2a ... 2as=2u(v-u)+a^2((v-u)/a)^2 ... the a^2 cancels leaving 2as=2u(v-u)+(v-u)^2

expanding gives 2as=2uv-2u^2+v^2-2uv+u^2 ... collecting terms gives 2as=-u^2+v^2 ... adding u^2 gives u^2+2as=v^2

it helps to know the answer, but the first step of multiplying by 2a would be done anyway to eliminate the fractions