Question

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

Answer 1

Answer:

$y^{2ac}$

Step-by-step 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

$y^{2ac}$