Question

Verify the distributive property ax (b+c) = (axb) + (axc), for the rational numbers. a= -3/2; b= -1/4; c= 3/5 ​

Answer 1

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LHS = a×(b+c)

-1/2×(2/3-5/6)

=-1/2×(-1/6)

=1/12

RHS

(a×b)+(a+c)

=(-1/2×2/3)+(-1/2-5/6)

=(-1/3)×(-8/6)

=8/18

=4/9