Question

Simplify by using the law of indices:
y^a(b+c)×y^b(c-a)×y^c(a-b)​

Answer 1

`y^(2ac)`

Explanation:

Using the law if indices

`a^(m)` ×
`a^(n)` =
`a^((m+n))`

Thus to simplify the expression add the 3 exponents

a(b + c) + b(c - a) + c(a - b) ← distribute parenthesis

= ab + ac + bc - ab + ac - bc ← collect like terms

= 2ac

Then the expression simplifies to

`y^(2ac)`