$$(\frac{6}{9})^{2}+(\frac{3}{9})^{2}+2\lambda\frac{6}{9}\times\frac{3}{9}$$
$\frac{4\lambda +5}{9}$
$$\left(\frac{2}{3}\right)^{2}+\left(\frac{3}{9}\right)^{2}+2\lambda \times \frac{6}{9}\times \frac{3}{9}$$
$$\frac{4}{9}+\left(\frac{3}{9}\right)^{2}+2\lambda \times \frac{6}{9}\times \frac{3}{9}$$
$$\frac{4}{9}+\left(\frac{1}{3}\right)^{2}+2\lambda \times \frac{6}{9}\times \frac{3}{9}$$
$$\frac{4}{9}+\frac{1}{9}+2\lambda \times \frac{6}{9}\times \frac{3}{9}$$
$$\frac{5}{9}+2\lambda \times \frac{6}{9}\times \frac{3}{9}$$
$$\frac{5}{9}+2\lambda \times \frac{2}{3}\times \frac{3}{9}$$
$$\frac{5}{9}+\frac{4}{3}\lambda \times \frac{3}{9}$$
$$\frac{5}{9}+\frac{4}{3}\lambda \times \frac{1}{3}$$
$$\frac{5}{9}+\frac{4}{9}\lambda $$
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$$\frac{5+4\lambda }{9}$$
$$4\lambda +5$$
$$\frac{4\lambda +5}{9}$$
