Question

\(\frac{23^{10}-23^{11}}{23^{11}+21.23^{10}}\)

Answer 1

\(=\frac{23^{10}\left(1-23\right)}{23^{10}\left(23+21\right)}=\frac{-22}{44}=\frac{-1}{2}\)

Answer 2

\(\frac{23^{10}-23^{11}}{23^{11}+21.23^{10}}\)

\(=\frac{23^{10}.\left(1-23\right)}{23^{10}.\left(23+21\right)}\)

\(=\frac{-22}{44}=\frac{-22}{22.2}=\frac{-1}{2}\)

Answer 3

\(\frac{23^{10}-23^{11}}{23^{11}+21.23^{10}}=\frac{23^{10}-23^{10}.23}{23^{10}.23+21.23^{10}}\)\(=\frac{23^{10}(1-23)}{23^{10}(23+21)}=\frac{-22}{44}=\frac{-1}{2}\)