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Answer:

Answer is given below with explanations.

Step-by-step explanation:

[tex]Given \: question \: is \\ \frac{9}{16} {a}^{2} - 2ab + \frac{16}{9 } {b}^{2} \\ { (\frac{3}{4}a) }^{2} - 2ab + {( \frac{4}{3}b )}^{2} \\ \\ (\frac{3}{4} a + \frac{4}{3} b)^2 \\ [/tex]

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