
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
Read the following problem and then answer it. Factorize: $x^{2}+2x-3$. Solution: Original expression $=x^{2}+2x+1-1-3$ $=(x^{2}+2x+1)-4$ $=(x+1)^{2}-4$ $=(x+1+2)(x+1-2)$ $=(x+3)(x-1)$ The above method of factorization is called the method of pairing. Understand the characteristics of the method of pairing, and use the method of pairing to factorize: (1) $x^{2}-4x+3$ (2) $4x^{2}+12x-7$.

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