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  1. Subjects ›
  2. College Algebra ›
  3. Question of the Day

College Algebra Question of the Day

College Algebra Question of the Day

Answer today's College Algebra question, reveal the full explanation, then keep the streak going with a new question every day.

Factor the trinomial using special products: x2+10x+25x^2+10x+25x2+10x+25.

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Question of the Day

Factor the trinomial using special products: x2+10x+25x^2+10x+25x2+10x+25.

  1. (x+5)2(x+5)^2(x+5)2 (correct answer)
  2. (x−5)2(x-5)^2(x−5)2
  3. (x+25)(x+1)(x+25)(x+1)(x+25)(x+1)
  4. (x+5)(x−5)(x+5)(x-5)(x+5)(x−5)

Explanation: This question tests college-level algebra skills in simplifying algebraic expressions. Simplifying involves using properties of real numbers and order of operations to reduce expressions to their simplest form. For example, combining like terms and factoring are essential steps. The correct answer demonstrates accurate simplification by applying these principles, such as correctly distributing and combining terms. A common mistake is incorrectly applying the order of operations, leading to erroneous results. Teach students to carefully follow order of operations and check their work by substituting values to verify equivalence. Encourage practice with varied expressions to strengthen understanding.