Verify that (x +y) *z=x *z+y*z, if x=4/5, y= -2/3 and z= -4
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Given that :
x = 4/5, y = -2/3 and z = -4.
Now, L.HS.
= (x + y)z
= (4/5 - 2/3)×(-4)
= {(12 - 10)/15}×(-4)
= (2/15)×(-4)
= -8/15
Again, R.H.S.
= xz + yz
= (4/5)(-4) + (-2/3)(-4)
= -16/5 + 8/3
= (-48 + 40)/15
= -8/15
Then, L.H.S. = R.H.S.
Therefore,
(x + y)z = xz + yz.
Hence, proved.
♧♧HOPE THIS HELPS YOU♧♧
Given that :
x = 4/5, y = -2/3 and z = -4.
Now, L.HS.
= (x + y)z
= (4/5 - 2/3)×(-4)
= {(12 - 10)/15}×(-4)
= (2/15)×(-4)
= -8/15
Again, R.H.S.
= xz + yz
= (4/5)(-4) + (-2/3)(-4)
= -16/5 + 8/3
= (-48 + 40)/15
= -8/15
Then, L.H.S. = R.H.S.
Therefore,
(x + y)z = xz + yz.
Hence, proved.
♧♧HOPE THIS HELPS YOU♧♧
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Step-by-step explanation:
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