Bài 1 : Cho \(\dfrac{a}{b}=\dfrac{c}{d}\). Chứng Minh :

a) \(\dfrac{2a+c}{2b+d}=\dfrac{a-c}{b-d}\)

b) \(\dfrac{a^2}{b^2}=\dfrac{ac+c^2}{bd+d^2}\)

c) \(\dfrac{a+3c}{b+3d}=\dfrac{a-c}{b-d}\)

d) \(\dfrac{2a-3c}{2b-3d}=\dfrac{a}{b}\)

e) \(\dfrac{a+3b}{c+3d}=\dfrac{b}{d}\)

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