Final answer:
The provided expressions involve factoring perfect squares and differences of squares in algebra. Expressions A, C, and E are factorized into binomials, while the other expressions either do not need factoring or require more context to factor.
Step-by-step explanation:
The question pertains to factoring algebraic expressions, which is a fundamental concept in high school algebra. The expressions presented are all in the form of perfect square differences or sum and differences that can be factorized using algebraic identities. The symbols used (represented by asterisks) indicate squaring. Let's handle each of them step-by-step.
Expression A, which is x2 - 16, is a difference of squares, which can be factored as (x - 4)(x + 4). Expression C is similar, being 100x2 - 9 and can be factored as (10x - 3)(10x + 3). Expression E is 4y2 - 25, which again is a difference of squares and factors into (2y - 5)(2y + 5).
Expressions B, D, F, G, and H contain variables raised to the second power but are either linear expressions or non-simple quadratic expressions, which are either already in simplest form or require more context for specific factorization.