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Factor completely.4, x, squared, minus, 4, x, plus, 14x 2 −4x+1

Question

Factor completely.4, x, squared, minus, 4, x, plus, 14x 2 −4x+1

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Solution

The expression you provided seems to be a bit unclear. However, if you're asking to factor the quadratic equation 4x^2 - 4x + 1, here are the steps:

  1. Identify the coefficients of the quadratic equation. In this case, a = 4, b = -4, and c = 1.

  2. Check if the equation can be factored. For a quadratic equation to be factorable, the equation b^2 - 4ac should be a perfect square. In this case, (-4)^2 - 441 = 16 - 16 = 0, which is a perfect square.

  3. Since the equation is factorable, we can proceed to factor it. The factored form of a quadratic equation is (dx - e)(fx - g), where df = a, eg = c, and e + g = -b.

  4. In this case, the factored form of the equation is (2x - 1)(2x - 1) or (2x - 1)^2.

So, the factored form of the equation 4x^2 - 4x + 1 is (2x - 1)^2.

This problem has been solved

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