Expression: 5m⁴(3m²+7m)

Question

Simplified form: □

Answer 1

To simplify the expression \( 5m^4(3m^2 + 7m) \), we distribute \( 5m^4 \) to each term inside the parentheses:

1. Distribute \( 5m^4 \) to \( 3m^2 \): \[ 5m^4 \cdot 3m^2 = 15m^{4+2} = 15m^6 \]

2. Distribute \( 5m^4 \) to \( 7m \): \[ 5m^4 \cdot 7m = 35m^{4+1} = 35m^5 \]

Now we can combine these two results: \[ 15m^6 + 35m^5 \]

The simplified form of the expression \( 5m^4(3m^2 + 7m) \) is: \[ 15m^6 + 35m^5 \]