by taking x =-3/4, y=2/3 and z=-5/6 verify that (X x (y +z) = X x y + X x z
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Answer: HEY MATE HOPE IT HELPS YOU TOO UNDERSTAND....
x =-3/4, y=2/3 and z=-5/6
verify (X * (y +z) = X * y + X *z
taking LHS
X*(Y+Z)= 3/4(2/3+(-5/6)
= [3/4*2/3] + [ 3/4*-5*6]
use BODMAS{bracket open division, multiplication, addition, subtraction
=[1/2]+[-9/10]
=1/2-9/10
take LCM of 2 and 10 which is 10
so no we will multipy 5 by 1/2 in both the sides
=5-9/10
=-4/10
lhs =-2/5
now we will take RHS
X * y + X *z=[3/4*2/3] + [ 3/4*-5*6]
use BODMAS{bracket open division, multiplication, addition, subtraction
=[1/2]+[-9/10]
=1/2-9/10
take LCM of 2 and 10 which is 10
so no we will multipy 5 by 1/2 in both the sides
=5-9/10
= -4/10
rhs = -2/5
now we can see that LHS=RHS
HENCE VERIFIED