Question

Can someone help me simplify:

5/3=((14-L)^2-(12-L)^2))/((12-L)^2-(10-L)^2)

Answer 1

gimmick here is that both numerator and denominator are the difference of two square

Answer 2

\[a^2-b^2=(a+b)(a-b)\] so \[(14-L)^2-(12-L)^2=(14-L+12-L)(14-L-(12-L)\]

Answer 3

which, combining like terms then multiplying gives

\[(26-2L)\times 2=52-4L\]

Answer 4

denominator is similar

Answer 5

wow so simple haha thanks a lot @satellite73 its an example of finding the natural length of a spring problem totally helps.

Answer 6

so for some odd reason i cant get the denominator right

Answer 7

nevermind got it!