Question

simplify the following expression. 6a²(4a³ - 8) ?a^□ + □a²

Explanation:

Step1: Distribute \(6a^2\) to \(4a^3\)

Using the rule of exponents \(a^m \cdot a^n = a^{m + n}\), we have \(6a^2 \cdot 4a^3 = (6 \times 4)a^{2 + 3}=24a^5\).

Step2: Distribute \(6a^2\) to \(-8\)

We get \(6a^2 \cdot (-8)= -48a^2\).

Answer:

\(24a^5 + (-48)a^2\) (So the first box is \(24\), the exponent box is \(5\), and the last box is \(-48\))