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Algebra; Factoring 2

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1. Completely factor the following expression:
25a^2-60ab + 36b^2

2. Factor the following expression into a product of two binomials:
36x^2-84x+49

3. Use the "difference of squares" rule to factor the following expression:
16x^4-121y^4

4. Megan factored the expression12x^2+13x-14 as (3x+2)(4x-7). But when Jacob applied the FOIL principle and multiplied Out (3x+2)(4x-7), he got 12x^2-13x-14 ; thus Megan's solution does not appear to check. Why is that? Please help Megan to understand this better. Explain your reasoning and correctly factor the original expression, if possible. If the expression is prime, please state so.

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Solution:

1.
(5a)^2 - 2(5)(6) + (6b)^2
(5a - 6b)^2

2.
(6x)^2 - 2(6)(7) + (7)^2
(6x - ...

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