Question

Which of the following is the simplest form of the expression Y = ABC[AB + C(BC + AC)]?

1) Y = ABC[AB + C(BC + AC)]
2) Y = ABC[AB + C(BC + AC)]²
3) Y = ABC[AB + C(BC + AC)]³
4) Y = ABC[AB + C(BC + AC)]⁴

Answer 1

The simplest form of the expression Y = ABC[AB + C(BC + AC)] is Y = ABC[AB + BC + AC].

Step-by-step explanation:

The simplest form of the expression Y = ABC[AB + C(BC + AC)] is Y = ABC[AB + BC + AC].

1. Simplify the expression within the brackets first.
2. Use the distributive property to distribute the C to the terms within the brackets.
3. Simplify further by combining like terms.

After simplifying, you will have Y = ABC[AB + BC + AC]. This is the simplest form of the expression.