Verify a x (b + c) = (a x b) + (a x c) and write the result for a=(-15)/4 b=4/7 and c=(-12)/5
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LHS.. a × (b+c)
= abc
RHS.. (a×b) + (a×c)
= ab+ac
= a²bc
LHS.... abc i.e. -15/4 × 4/7 × -12/5
3×12/7
36/7
RHS.... a²bc i.e. (-15/4)²× 4/7 × -12/5
= (-765/16) × 4/7 × (-12/5)
= 153 × 4 × 6/ 8 × 7
= 3672/56
therefore LHS ≠ RHS
i.e. abc ≠ a²bc
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