Question

Verify that,(x+y)*z=(x*z)+(y*z)if x=4/5,y=-2/3 and z=-4

Answer 1

Distributive Property ⇒ (x + y) × z = (x × z) + (x × y)

So here we have to verify if this is true. So it goes like this -

$(\frac{4}{5} + \frac{-2}{3}) * -4\\\\(\frac{12}{15} + \frac{-10}{15})*-4\\\\\frac{2}{15} *-4\\\\\frac{-8}{15}$

Now we will use the property and see if (x + y) × z = (x × z) + (x × y) is true.

$(\frac{4}{5}*-4) + (\frac{-2}{3}*-4)\\ \\\frac{-16}{5}+\frac{8}{3} \\\\\frac{-48}{15}+\frac{40}{15} \\\\\frac{-8}{15}$

∴ $\frac{-8}{15} = \frac{-8}{15}$

∴(x + y) × z = (x × z) + (x × y)

Hope this helps. Pls mark as brainliest answer.