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Darina [25.2K]
3 years ago
8

(___ −2a)2 = 9b2− ___ + ___

Mathematics
1 answer:
marshall27 [118]3 years ago
7 0

Answer:

\large\boxed{(3b-2a)^2=9b^2-12ab+4a^2}

Step-by-step explanation:

\text{Use}\ (a-b)^2=a^2+2ab+b^2\\\\(x-2a)^2=x^2-(2)(x)(2a)+(2a)^2=9b^2-\underline{\ \ \ \ }+\underline{\ \ \ \ }\\\\\text{Therefore}\ x^2=9b^2\\\\x^2=3^2b^2\\\\x^2=(3b)^2\to x=3b\\\\(3b-2a)^2=(3b)^2-(2)(3b)(2a)+(2a)^2=9b^2-12ab+4a^2

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