Question

SIMPLIFY USING DISTRIBUTIVE PROPERTY OF MULTIPLICATION:
a) 595 * 96 + 4 * 595
b) 297 * 17 + 297 * 3

Answer 1

$$\begin{gathered} 1) \\ 595\times 96+4\times 595 \\ \mathrm{Since}\mathrm{here}595\mathrm{is}\mathrm{common}\mathrm{in}\mathrm{both}\mathrm{the}\mathrm{expression}\mathrm{so}\mathrm{we}\mathrm{can}\mathrm{take}\mathrm{it}\mathrm{common},\mathrm{a} \\ =595\left[96+4\right] \\ =595\times 100 \\ =59500 \\ 2) \\ 297\times 17+297\times 3 \\ \mathrm{Since}\mathrm{here}297\mathrm{is}\mathrm{common}\mathrm{in}\mathrm{both}\mathrm{the}\mathrm{expression}\mathrm{so}\mathrm{we}\mathrm{can}\mathrm{take}\mathrm{it}\mathrm{common},\mathrm{a} \\ =297\left[17+3\right] \\ =297\times 20 \\ =5940 \end{gathered}$$