Question

Verify the property xx (y + z) = x x y + x x z by taking- x=1/3,y=1/5,z=1/7

please solve the question​

Answer 1

Step-by-step explanation:

x × (y + z) = x × y + y × z

put x = 1/3, y = 1/5 , z = 1/7

1/3 ×(1/5 + 1/7) = 1/3 × 1/5 + 1/3 × 1/7

1/3 ×([5+7]/35) = 1/15 + 1/21

1/3 × (12/35) = (7 + 5)/105

12/105 = 12/105

L.H.S = R.H.S

Answer 2

Step-by-step explanation:

LHS :- xx(y+z)

=> 1/3 × 1/3 (1/5 + 1/7) (LCM 5,7 = 35)

=> 1/9 (7+5/35)

=> 1/9 × 12/35

=> 12/315

=> 4/105

RHS :- xxy + xxz

=> (1/3 × 1/3 × 1/5) + (1/3 × 1/3 × 1/7)

=> 1/45 + 1/63 (LCM 45,63 = 315)

=> 7+5/315

=> 12/315

=> 4/105

Therefore, LHS = RHS

Hence Proved