Question

I need quick answer in brief. verify property : x*( y + z) = X * y + X * z by taking : x = -12/5 , y = -15/4 , z = 8/3.

Answer 1

LHS:

= x * (y + z)

= -12/5(-15/4 + 8/3)

= -12/5(-13/12)

= 12/5 * 13/12

= 13/5.


Now,

RHS = x * y  + x * z

        = -12/5(-15/4) + -12/5 * 8/3

       = 9 - 32/5

      = 45 - 32/5
    
      = 13/5.


LHS = RHS.


Hope this helps!

Answer 2

put value of x,y z in given equation
(-12/5) *(-15/4)+(-12/5 *8/3)
solve this
we get
=3*3+(-32/5)

=9-(32/5)

=(45-32)/5

=13/5 will be answer