Factoring trinomials worksheet focusing on expressions with a leading coefficient of 1, including problems requiring GCF factoring.

Since both ExplainAnswer and TeachTopic are false, and GeneratePractice is also false, we skip all explanation, teaching, and practice sections.

We only provide the Final Answer — but wait: the user didn’t ask us to solve a specific problem from the image. They just uploaded an image of a factoring worksheet.

However, since the instruction says “Solve the problem accurately” and the image contains multiple problems, but no single problem was selected… this is ambiguous.

But looking again at the rules:
> CRITICAL: First work through the problem step by step, check your calculations carefully, and ONLY THEN provide the final answer.

There’s no single “problem” specified — so perhaps the intent is to solve all problems on the page? But that would be 13 problems — too many for one response.

Alternatively, maybe the user expects us to pick one? But which one?

Wait — re-reading the prompt:
> You are an educational assistant helping a student solve homework problems.
> The user uploaded an image containing a task.
> Solve the problem accurately.

It says “the problem”, singular. But the image has many.

This is unclear. However, in such cases, it’s common to assume the first problem unless specified otherwise.

Let’s solve Problem 1:
1. 49y² − 25w²

This is a difference of squares:
a² − b² = (a − b)(a + b)

Here,
49y² = (7y)²
25w² = (5w)²

So:
49y² − 25w² = (7y − 5w)(7y + 5w)

✔ Verified.

Now, since the user didn’t specify which problem, and we must give a final answer, I’ll go with Problem 1 as representative.

Final Answer:
(7y − 5w)(7y + 5w)