
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
We know that the distributive law of multiplication over addition is $a(b+c) = ab + ac$, and conversely, $ab + ac = a(b+c)$.  
We call $ab + ac = a(b+c)$ factorization. Use factorization to solve the following problems:  
(1) $5.6 \times 4.32 + 5.6 \times 5.68$  
(2) Given $a + b = 3$, $m + n = 4$, find the value of the algebraic expression $am + an + bm + bn$.

Present the answer in LaTex format: \boxed{Your answer}
user