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NECO 2022 · Paper 1 · Q23

Simplify m2+mm(m+1)(m+2)\dfrac{m^2 + m}{m(m + 1)(m + 2)}.

Worked solution (try it first)
  1. Factorise the top: m2+m=m(m+1)m^2 + m = m(m + 1).
  2. Cancel mm and (m+1)(m + 1) from top and bottom, leaving 1m+2\dfrac{1}{m + 2}, option C.

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