Algebra Practice Test 2025 – Complete Exam Preparation

To understand the expanded form of \( (abc)^2 \), let's first break down what this expression represents. The notation \( (abc)^2 \) means that the product \( abc \) is being multiplied by itself, which can be expressed as \( abc \times abc \).

When we expand this, we multiply each component in the product:

1. The first \( a \) gets multiplied by the first \( a \),

2. The first \( b \) gets multiplied by the first \( b \),

3. The first \( c \) gets multiplied by the first \( c \).

Therefore, we get:

- The first 'a' from the first \( abc \) multiplied by the first 'a' from the second \( abc \) results in \( aa \) or \( a^2 \).

- The same applies for the 'b' and 'c'.

However, if we think about it in terms of stringing the factors together without using exponents (which means we don’t write \( a^2, b^2, c^2 \)), we will have each component repeated once for each instance in the multiplication.

Thus, \( (abc)(abc) \) can be written out as \( abc