Verify: a×(b+c)=(a×b)+(a×c) for a=-3/7,b=12/13andc=-5/6
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Answer:Taking LHS:a×(b+c)
Putting given values
b+c=12/13+(-5/6)
=7/78
and -3/7×7/78
=-1/26
Taking RHS:
(a×b)=-3/7×12/13=-36/91
And (a×c)=-3/7×-5/6=5/14
So -36/91+5/14=-1/26
Thus verified
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