Verify X(Y+Z)=XY+ XZ taking X=5/7 and Y=-3/2 and Z=2/5
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x(y+z) = xy + xz
L.H.S = 5/7(-3/2 +2/5)
= 5/7[(-15+4)/10]
= 5/7(-11/10)
= -11/14............................(1)
R.H.S=[5/7 ×(-3/2)]+[5/7 × 2/5]
= -15/14 + 2/7
= -15/14 + 4/14
= -11/14..........................(2)
from (1) & (2) we get
L.H.S = R.H.S
Hence verified
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