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Question
Factorize the following:
9x2y + 3axy
Sum
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Solution
\[\text{ The greatest common factor of the terms }9 x^2 y \text{ and }3axy\text{ of the expression }9 x^2 y + 3axy\text{ is }3xy . \]
\[\text{ Also, we can write }9 x^2 y = 3xy \times 3x\text{ and }3axy = 3xy \times a . \]
\[ \therefore 9 x^2 y + 3axy = 3xy \times 3x + 3xy \times a\]
\[ = 3xy(3x + a)\]
\[\text{ Also, we can write }9 x^2 y = 3xy \times 3x\text{ and }3axy = 3xy \times a . \]
\[ \therefore 9 x^2 y + 3axy = 3xy \times 3x + 3xy \times a\]
\[ = 3xy(3x + a)\]
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