\(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}\Rightarrow a=b.k;b=c.k;c=d.k\)\(\Rightarrow a=k^3\)
\(\Rightarrow\frac{a^3+b^3+c^3}{b^3+c^3+d^3}=\frac{k^3.\left(b+c+d\right)^3}{b^3+c^3+d^3}=k^3\)
\(\Rightarrow\frac{a^3+b^3+c^3}{b^3+c^3+d^3}=\frac{a}{d}\)
cho \(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}\). chứng minh rằng \(\frac{a^3+b^3+c^3}{b^3+c^3+d^3}=\frac{a}{d}\)
\(Cho\frac{a}{b}=\frac{c}{d}(a,b,c,d\ne0).\)Chứng minh rằng :
\(\frac{a^3+b^3}{c^3 +d^3}=\frac{a+b^3}{c+d^3}\)\((\frac{a}{b}=\frac{c}{d}\ne1)\)
Cho \(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}\).Chứng minh rằng \(\frac{a^3}{b^3}=\frac{b^3}{c^3}=\frac{c^3}{d^3}=\frac{a}{d}\)
Cho\(\frac{a}{c}=\frac{c}{b}=\frac{b}{d}\) Chứng minh rằng \(\frac{a^3+c^3-abc}{c^3+b^3-bcd}=\frac{a}{d}\)
Cho dãy tỉ số \(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}\)Chứng minh rằng:\(\frac{a^3+b^3+c^3}{b^3+c^3+d^3}=\frac{a}{d}\)
Cho tỉ lệ thức: \(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}\)
Chứng minh rằng : \(\frac{a^3+b^3+c^3}{b^3+c^3+d^3}=\frac{a}{d}\)Cho các số thực a,b,c,d khác 0 thỏa mãn \(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}.\)Chứng minh rằng
\(\frac{a^3+2b^3+3c^3}{b^3+2c^3+3d^3}=\left(\frac{a+2b+3c}{b+2c+3d}\right)^3=\frac{a}{d}\)
Cho \(\frac{a}{c}=\frac{c}{b}=\frac{b}{d}\)Chứng minh \(\frac{a^3+c^3-b^3}{c^3+b^3-d^3}=\frac{a}{d}\)
Cho\(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}\)chứng minh \(\frac{a^3+b^3+c^3}{b^3+c^3+d^3}=\frac{a}{d}\)
