Question

verify the property x×(y+z)=x×y+x×z of rational numbers by taking x=-1/2,y=2/3,z=3/4​

Answer 1

Answer:

$x (y+z )= xy + yz$

$x = \frac{-1}{2}\\ y = \frac{2}{3} \\ z= \frac{3}{4}$

-1/2[(2/3)+(3/4)] = -1/2 [(8+9)/12] = -1/2 (17/12) = -17/24

-1/2(2/3)+ (-1/2)(3/4) = -2/6 - 3/8 = (-8-9)/24 = -17/24

Hence verified