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\frac{8xx}{9xy}+\frac{8yy}{9xy}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 9y and 9x is 9xy. Multiply \frac{8x}{9y} times \frac{x}{x}. Multiply \frac{8y}{9x} times \frac{y}{y}.
\frac{8xx+8yy}{9xy}
Since \frac{8xx}{9xy} and \frac{8yy}{9xy} have the same denominator, add them by adding their numerators.
\frac{8x^{2}+8y^{2}}{9xy}
Do the multiplications in 8xx+8yy.