Factor as the product of two binomials. 49-14 x+x^(2)=

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Factor as the product of two binomials.  49-14 x+x^(2)=

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Recognize the quadratic expression: Recognize the structure of the quadratic expression. The given expression is in the form of a quadratic trinomial, which can often be factored into the product of two binomials. The expression is 49 - 14x + x^2. We can reorder the terms to match the standard form of a quadratic equation, which is ax^2 + bx + c. So, the expression becomes x^2 - 14x + 49.Reorder the terms: Look for a pattern that matches the square of a binomial. The square of a binomial has the form (a - b)^2 = a^2 - 2ab + b^2. We can try to express x^2 - 14x + 49 in this form. Here, a^2 = x^2, so a = x. We need to find b such that b^2 = 49 and 2ab = 14x.Look for a pattern: Find the value of b. Since b^2 = 49, b could be either 7 or -7. However, since we have -14x in the expression, we need to choose b = 7 to get the middle term -14x (because 2ab = 2*x*7 = 14x). So, b = 7.Find the value of b: Write the factored form using the square of a binomial pattern. Now that we have a = x and b = 7, we can write the expression as the square of a binomial: x^2 - 14x + 49 = (x - 7)^2. This is the factored form of the expression as the product of two identical binomials.

Factor as the product of two binomials. $\newline$ $49-14x+x^{2}=$

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Factor as the product of two binomials.\newline49−14x+x2=49-14x+x^{2}=49−14x+x2=

Factor as the product of two binomials. $\newline$ $49-14x+x^{2}=$