Question

simplify the following expression.
$10m(m^2 + m + 10)$
$\boxed{?}m^3 + \boxed{}m^{\boxed{}} + \boxed{}m$

Explanation:

Step1: Distribute 10m to \( m^2 \)

Using the distributive property \( a(b + c + d)=ab + ac + ad \), here \( a = 10m \), \( b=m^2 \), so \( 10m\times m^2 = 10m^{1 + 2}=10m^3 \)

Step2: Distribute 10m to \( m \)

\( 10m\times m=10m^{1+1}=10m^2 \)

Step3: Distribute 10m to \( 10 \)

\( 10m\times10 = 100m \)

Answer:

\( 10m^3 + 10m^2 + 100m \)
So the first box is \( 10 \), the second box is \( 10 \), the exponent for the second \( m \) is \( 2 \), and the third box is \( 100 \).