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\frac{1}{64}x^{2}+\frac{1}{28}x+\frac{1}{49}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\frac{1}{8}x+\frac{1}{7}\right)^{2}.
\frac{1}{64}x^{2}+\frac{1}{28}x+\frac{1}{49}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\frac{1}{8}x+\frac{1}{7}\right)^{2}.