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Answer:

Step-by-step explanation:

1. L² - 121

We can factor this expression using the identity:

a² - b² = (a - b)(a + b)

where a = L and b = √121 = 11

Therefore, we can factor the expression as follows:

L² - 121 = (L - 11)(L + 11)

2. 4L² + 8Lq + 4q²

We can factor this expression using the identity:

(a + b)² = a² + 2ab + b²

where a = 2L and b = 2q

Therefore, we can factor the expression as follows:

4L² + 8Lq + 4q² = (2L + 2q)²

Therefore, both expressions can be factorized using the identities given above.