document.write( "Question 93220: hi there,\r
\n" ); document.write( "\n" ); document.write( "I am trying to simplify the following expression \r
\n" ); document.write( "\n" ); document.write( "s=u.(v-u)/a + 1/2a((v-u)/a)^2\r
\n" ); document.write( "\n" ); document.write( "it should end up as v^2=u^2+2as\r
\n" ); document.write( "\n" ); document.write( "please help beacuse I cant seam to get it to come out, I have expanded the brackets but still no joy.
\n" ); document.write( "thankyou
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Algebra.Com's Answer #67872 by scott8148(6628)\"\" \"About 
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\r
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\n" ); document.write( "\n" ); document.write( "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\r
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\n" ); document.write( "\n" ); document.write( "it helps to know the answer, but the first step of multiplying by 2a would be done anyway to eliminate the fractions
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