verify the property x×(y+z)=x×y+x×z by taking x=-3/4 y=-5/2 z=7/6
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In LHS,
x(y+z)
=(-3/4)(-5/2+7/6)
=(-3/4){(-15+7)/6}
=(-3/4){-8/6}
=-3/4 × -4/3
=1
In RHS,
xy+xz
=(-3/4)(-5/2)+(-3/4)(7/6)
=15/8-7/8
=8/8
=1
Since LHS=RHS, x(y+z)=xy+xz
Hence, verified
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