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Mathematics

If a = b, show that abc = bac.

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abc=bac⇒a×b×c=b×a×c⇒a×a×c=a×a×c⇒a2×c=a2×c⇒a2×c=a2×c⇒c=cabc = bac\\[1em] ⇒ a \times b \times c = b \times a \times c\\[1em] ⇒ a \times a \times c = a \times a \times c\\[1em] ⇒ a^2 \times c = a^2 \times c\\[1em] ⇒ \cancel {a^2} \times c = \cancel {a^2} \times c\\[1em] ⇒ c = c

∴ If a = b, then abc = bac

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