15b²c * 2ac³ / 3bc²

Question

A question about algebra, include working out please.

Answer 1

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 = 30ab²c⁴/3bc²

 

Now cancel like terms in the numerator with those in the denominator: 30/3=10, b²/b=b, c⁴/c²=c²

 

30ab²c⁴/3bc² = 10abc², for all values of b and c except b=0 and c=0