Question

1. Verify the property a x (b+c) =(axb)+(axc) by taking:
1) a = (1/4), b = 0, c = (-5/6)
2) a = -7, b = (2/5), c = (-3/7)

Answer 1

Step-by-step explanation:

L.H.S = a*(b+c)

R.H.S = (a*b)+(a*c)

(1) a=1/4, b=0 , c=-5/6

L.H.S = a*(b+c)

= 1/4 * ( 0 + (-5/6) )

= 1/4 * (0 - 5/6 )

= 1/4 * ( -5/6 )

= -5/24

R.H.S = ( a*b ) + ( a*c )

= ( 1/4*0 ) + ( 1/4*(-5/6) )

= ( 0 ) + (-5/24)

= 0 -5/24

= -5/24

hence , LHS = RHS