Factor completely. 4-12 x+9x^(2)=

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Factor completely.  4-12 x+9x^(2)=

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Recognize the structure: Recognize the structure of the quadratic expression. The given expression is in the form of a quadratic trinomial ax^2 + bx + c. We need to factor it into the form (dx - e)(fx - g), where d, e, f, and g are numbers to be determined.Identify the coefficients: Identify the coefficients of the quadratic expression. The coefficients are a = 9, b = -12, and c = 4. We need to find two numbers that multiply to ac (9 * 4 = 36) and add up to b (-12).Find two numbers: Find two numbers that multiply to 36 and add up to -12. The numbers -6 and -6 multiply to 36 and add up to -12.Rewrite the middle term: Rewrite the middle term using the numbers found in Step 3. The expression 4 - 12x + 9x^2 can be rewritten as 9x^2 - 6x - 6x + 4.Factor by grouping: Factor by grouping. Group the terms to factor by grouping: (9x^2 - 6x) + (-6x + 4). Factor out the common factors from each group: 3x(3x - 2) - 2(3x - 2).Factor out the common binomial factor: Factor out the common binomial factor. The common binomial factor is (3x - 2). The factored form is (3x - 2)(3x - 2) or (3x - 2)^2.

Factor completely. $\newline$ $4-12x+9x^{2}=$

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Factor completely.\newline4−12x+9x2=4-12x+9x^{2}=4−12x+9x2=

Factor completely. $\newline$ $4-12x+9x^{2}=$