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OpenStudy (anonymous):

How would you factor 2x^2 + 9xy + 9y^2?

jimthompson5910 (jim_thompson5910):

2x^2 + 9xy + 9y^2 2x^2 + 6xy + 3xy + 9y^2 (2x^2 + 6xy) + (3xy + 9y^2) 2x(x + 3y) + (3xy + 9y^2) 2x(x + 3y) + 3y(x + 3y) (2x + 3y)(x + 3y) So 2x^2 + 9xy + 9y^2 factors to (2x + 3y)(x + 3y)

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