ta có \(\frac{7a^2+5ac}{7a^2-5ac}=\frac{\frac{7a^2+5ac}{a^2}}{\frac{7a^2-5ac}{a^2}}=\frac{7+5\frac{c}{a}}{7-5\frac{c}{a}}\)
tương tự ta có \(\frac{7b^2+5bd}{7b^2-5bd}=\frac{\frac{7b^2+5bd}{b^2}}{\frac{7b^2-5bd}{b^2}}=\frac{7+5\frac{d}{b}}{7-5\frac{d}{b}}\)
Mà \(\frac{a}{b}=\frac{c}{d}\Rightarrow\frac{c}{a}=\frac{d}{b}\Rightarrow\frac{7+5\frac{c}{a}}{7-5\frac{c}{a}}=\frac{7+5\frac{d}{b}}{7-5\frac{d}{b}}\) Nên \(\frac{7a^2+5ac}{7a^2-5ac}=\frac{7b^2+5bd}{7b^2-5bd}\)