Factor completely. 81p^(2)-144 pq+64q^(2)=

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Factor completely.  81p^(2)-144 pq+64q^(2)=

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Identify Coefficients: Step Title: Identify the Coefficients Concise Step Description: Identify the coefficients of the quadratic equation in terms of p and q. Step Calculation: Coefficients are 81, -144, and 64. Step Output: Coefficients: 81, -144, 64Recognize Perfect Square Trinomial: Step Title: Recognize the Perfect Square Trinomial Concise Step Description: Determine if the quadratic is a perfect square trinomial by checking if the first and last terms are perfect squares and if the middle term is twice the product of the square roots of the first and last terms. Step Calculation: The square root of 81p^2 is 9p, and the square root of 64q^2 is 8q. The middle term, -144pq, is twice the product of 9p and 8q, which is -144pq. Step Output: The quadratic is a perfect square trinomial.Write Factored Form: Step Title: Write the Factored Form Concise Step Description: Write the factored form of the quadratic equation as the square of a binomial. Step Calculation: The factored form is (9p - 8q)^2. Step Output: Factored Form: (9p - 8q)^2

Factor completely. $\newline$ $81 p^{2}-144 p q+64 q^{2}=$

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Factor completely.\newline81p2−144pq+64q2= 81 p^{2}-144 p q+64 q^{2}= 81p2−144pq+64q2=

Factor completely. $\newline$ $81 p^{2}-144 p q+64 q^{2}=$