A question about algebra, include working out please.

15b²c * 2ac³ / 3bc²

First, as a rational expression, this expression is undefined when b=0 or c=0.

To simplify, multiply out the terms in the numerator

15b²c * 2ac³ / 3bc² = 30ab

^{2}c^{4}/3bc^{2}Now cancel like terms in the numerator with those in the denominator: 30/3=10, b

^{2}/b=b, c^{4}/c^{2}=c^{2}30ab

^{2}c^{4}/3bc^{2}= 10abc^{2}, for all values of b and c except b=0 and c=0