Question

If ×=1/7,y=2/3and z= -1/3,verify that,x×(y+z)=(x×y)+(x×z).​

Answer 1

$\huge \purple{ \mid {\fbox{ \rm{solution}}}}$

Given that x=1/7

y=2/3 and z=-1/3

we need to verify that x×(y+z)=(x×y)+(x×z)

so now we will put the values of

$\frac{1}{7} \times \frac{2 }{3} + \frac{ - 1}{3} = \frac{1}{7} \times \frac{2}{3} + \frac{1}{7} \times \frac{ - 1}{3} \\ \frac{1}{21} = \frac{2}{21} - \frac{1}{21} = \frac{1}{21}$

hence proved

hope it helps you ✌️