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Factor as the product of two binomials.

x^(2)-4=

Factor as the product of two binomials.\newlinex24x^{2}-4

Full solution

Q. Factor as the product of two binomials.\newlinex24x^{2}-4
  1. Determine factoring technique: Determine the appropriate factoring technique for x24x^2 - 4.\newlineThe expression x24x^2 - 4 is a difference of squares because it can be written as x222x^2 - 2^2.
  2. Apply difference of squares formula: Apply the difference of squares formula to factor x24x^2 - 4.\newlineThe difference of squares formula is a2b2=(ab)(a+b)a^2 - b^2 = (a - b)(a + b).\newlineHere, a=xa = x and b=2b = 2, so we have x24=(x2)(x+2)x^2 - 4 = (x - 2)(x + 2).