Expand(2m+4)(m+5).

Answer 1

To expand the expression \((2m + 4)(m + 5)\), you can use the distributive property (also known as the FOIL method for binomials):

1. Multiply the first terms: \[ 2m \cdot m = 2m^2 \]

2. Multiply the outer terms: \[ 2m \cdot 5 = 10m \]

3. Multiply the inner terms: \[ 4 \cdot m = 4m \]

4. Multiply the last terms: \[ 4 \cdot 5 = 20 \]

Now, combine all these results: \[ 2m^2 + 10m + 4m + 20 \]

Next, combine like terms (\(10m\) and \(4m\)): \[ 2m^2 + 14m + 20 \]

Therefore, the expanded form of \((2m + 4)(m + 5)\) is: \[ \boxed{2m^2 + 14m + 20} \]