Calculation (m ^ 2-9) / [M (M-3) + M-3]

Calculation (m ^ 2-9) / [M (M-3) + M-3]

(m^2-9)/[m(m-3)+m-3]
=(m+3)(m-3)/[(m+1)(m-3)]
=(m+3)/(m+1)

1 / 3 + 1 / 6 + 1 / 10 + 1 / 15 + 1 / 21 + 1 / 28 + 1 / 36 + 1 / 45 make the answer in the simplest way

1/3(1+1/2)+1/5(1/2+1/3)+1/7(1/3+1/4)+1/9(1/4+1/5)+1/11(1/5+1/6)+1/13(1/6+1/7)+1/15(1/7+1/8) =1/3*3/2+1/5*5/6+1/7*7/12+1/9*9/20+1/11*11*30+1/13*13/42+1/15*15/56 =1/2+1/6+1/12+1/20+1/30+1/42+1/56 =1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8 =1-1/8 =7/8
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How to calculate with the simple method

125÷5×6÷10