Question

verify the property x × (y + z) = (x × y) + (x × z) of rational numbers by taking

c) x=-2/3, y=-4/6, z=-7/9​

Answer 1

Answer:

$x(y + z) = (xy) + (xz) \\ if \: x = \frac{ - 2}{3} \\ y = \frac{ - 4}{6} \\ z = \frac{ - 7}{9} \\ then \: \\ \frac{ - 2}{3} ( \frac{ - 4}{6} - \frac{7}{9} ) = ( \frac{ - 2}{3} \times \frac{ - 4}{6} ) + ( \frac{ - 2}{3} \times \frac{ - 7}{9}) \\ \frac{4}{9} + \frac{14}{27} = \frac{4}{9} + \frac{14}{27} \\ hence \: it \: is \: equal$