(301 +302 + 303 +... + 325)- (1 + 2 + 3 ...+ 25 ) =

Dear student,

Kindly find the answer to your query:

$$\begin{gathered} \left(301+302+303+......+325\right)-\left(1+2+3+....+25\right) \\ = \left(300+1+300+2+300+3+......+300+25\right)-\left(1+2+3+....+25\right) \\ =\left(300+300+300+......300\left(25 \mathrm{times}\right)\right)+\left(1+2+3+....+25\right)-\left(1+2+3+....+25\right) \\ =\left(300+300+300+......300\left(25 \mathrm{times}\right)\right) \\ =300\times 25 \\ =7500 \end{gathered}$$
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