Question

evaluate using identity:
251*249

Answer 1

$$\begin{gathered} 251\times 249=\left(250+1\right)\left(250-1\right) \\ ={\left(250\right)}^2-{\left(1\right)}^2\left(\mathrm{Since}\left(\mathrm{a}+\mathrm{b}\right)\left(\mathrm{a}-\mathrm{b}\right)={\mathrm{a}}^2-{\mathrm{b}}^2\right) \\ =62500-1=62499\mathrm{ANS}... \end{gathered}$$