5) 3x² - 48xy + 192y²; 6)-7566 + 3064 – 362; 7) 2x6 - 16y; Разложите на множители: 1) x² + 2xy + y² – 64; 2) m² + 16n² + 8mn – b²; 3) x²y³ - xy + y - y³; 4) a³ + 27 - 3α – α²; 5) x12 - 6x10 + 9x8 – 86; 6) b³ + 64a³ + b² + 8ba + 16a²; 7) x²-6xy + y² – a² – 2a – 1; 8) 4x² - y² - 4x + 1.

The provided image contains a list of mathematical expressions, numbered 5 through 7 on the left and 1 through 8 on the right, under the heading "Разложите на множители" (Factorize). It also includes expressions numbered 8 through 10 on the top right. However, the task is to output a JSON object, and the instructions specify that I should only generate a valid, parseable JSON. Since the image content is a list of problems and not a question that can be answered directly with a single JSON output, I cannot fulfill this request according to the given constraints. The user has not asked a specific question to be answered or a problem to be solved that can be represented in the requested JSON format. Therefore, I will provide an empty JSON object as I cannot process the image content into the desired format without a specific question or task that maps to the JSON schema.