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\left(-\frac{2}{7}x\right)^{2}-\left(\frac{3}{8}y\right)^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\left(-\frac{2}{7}\right)^{2}x^{2}-\left(\frac{3}{8}y\right)^{2}
Expand \left(-\frac{2}{7}x\right)^{2}.
\frac{4}{49}x^{2}-\left(\frac{3}{8}y\right)^{2}
Calculate -\frac{2}{7} to the power of 2 and get \frac{4}{49}.
\frac{4}{49}x^{2}-\left(\frac{3}{8}\right)^{2}y^{2}
Expand \left(\frac{3}{8}y\right)^{2}.
\frac{4}{49}x^{2}-\frac{9}{64}y^{2}
Calculate \frac{3}{8} to the power of 2 and get \frac{9}{64}.
\left(-\frac{2}{7}x\right)^{2}-\left(\frac{3}{8}y\right)^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\left(-\frac{2}{7}\right)^{2}x^{2}-\left(\frac{3}{8}y\right)^{2}
Expand \left(-\frac{2}{7}x\right)^{2}.
\frac{4}{49}x^{2}-\left(\frac{3}{8}y\right)^{2}
Calculate -\frac{2}{7} to the power of 2 and get \frac{4}{49}.
\frac{4}{49}x^{2}-\left(\frac{3}{8}\right)^{2}y^{2}
Expand \left(\frac{3}{8}y\right)^{2}.
\frac{4}{49}x^{2}-\frac{9}{64}y^{2}
Calculate \frac{3}{8} to the power of 2 and get \frac{9}{64}.