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Factorize 9/16 x2 + xy + 4/9 y2

User Siaooo
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1 Answer

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(9)/(16) x^2 + xy + (4)/(9) y^2 = ((3)/(4) x)^(2) + xy + ((2)/(3)y)^(2) = ((3)/(4) x)^(2) + 2* (3)/(4) x * (2)/(3)y + ((2)/(3)y)^(2)
= ( (3)/(4)x + (2)/(3) y)^(2)
User Sherrie
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