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Factor the expression 2x^2 - 8.

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Question: Factor the expression 2x^2 - 8.

Options:

  1. 2(x - 4)(x + 4)
  2. 2(x - 2)(x + 2)
  3. 2(x - 4)
  4. x(2x - 8)

Correct Answer: 2(x - 4)(x + 4)

Solution: 

To factor 2x^2 - 8, first factor out 2: 2(x^2 - 4). Then, recognize x^2 - 4 as a difference of squares: 2(x - 2)(x + 2).

Factor the expression 2x^2 - 8.

Practice Questions

Q1
Factor the expression 2x^2 - 8.
  1. 2(x - 4)(x + 4)
  2. 2(x - 2)(x + 2)
  3. 2(x - 4)
  4. x(2x - 8)

Questions & Step-by-Step Solutions

Factor the expression 2x^2 - 8.
  • Factoring Quadratic Expressions – The process of rewriting a quadratic expression as a product of its factors.
  • Difference of Squares – A specific factoring technique used when an expression is in the form a^2 - b^2, which factors to (a - b)(a + b).
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