Question

Verify the property ax(b+c)=(axb)+(axc) by taking:
a = -2, b = (9/5), c = (-2/15)​

Answer 1

Step-by-step explanation:

DISTRIBUTIVE PROPERTY

ax(b+c)= (axb)+(axc)

a= -2, b= 9/5, c= -2/15

Therefore,

LHS                                     RHS

-2x(9/5+-2/15)                    (-2x9/5) + (-2/-2/15)

-2x(9/5-2/15)                      (-18/5)+(4/15)                         (LCM of 5 and 15 is 15)

-2x(9x3/5x3-2/15)              -18/5+4/15

-2x(27/15-2/15)                    -18x3/5x3 + 4/15

-2x25/15                               -54/15 + 4/15

-50/15                                     -50/15

Since, LHS=RHS

Therefore verified