If 1/(x(a-x)) is equivalent to B(1/x + 1/(a-x)), Express 'B' in terms of 'a'
1/(x(a-x)) = B(1/x + 1/(a-x)) Note: the '≡' sign (defined equivalence) can be used in place of '=' but this is not necessary to achieve full marks.Step: multiply both sides by x(a-x)1 = (x(a-x))B(1/x + 1/(a-x))Step: Multiply out brackets containing functions of x1 = B((x(a-x)/x) + (x(a-x))/(a-x))Step: Simplify new function of x1 = B((a-x)+x)1 = B*aB = 1/a
CG
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