Toán cho a/b=b/c=c/a CM:(a+b+c/b+c+d) mũ 3=a/d 12/09/2021 By Camila cho a/b=b/c=c/a CM:(a+b+c/b+c+d) mũ 3=a/d
Đáp án: Giải thích các bước giải: $\dfrac{a}{b}=\dfrac{b}{c}=\dfrac{c}{d}=\dfrac{a+b+c}{b+c+d}\\ \rightarrow \dfrac{a^{3}}{b^{3}}=\dfrac{b^{3}}{c^{3}}=\dfrac{c^{3}}{d^{3}}=\dfrac{(a+b+c)^{3}}{(b+c+d)^{3}}=\dfrac{a}{b}.\dfrac{b}{c}.\dfrac{c}{d}=\dfrac{a}{d}\\ \rightarrow \dfrac{(a+b+c)^{3}}{(b+c+d)^{3}}=\dfrac{a}{d}\\$ Trả lời
Đáp án:
Giải thích các bước giải:
$\dfrac{a}{b}=\dfrac{b}{c}=\dfrac{c}{d}=\dfrac{a+b+c}{b+c+d}\\
\rightarrow \dfrac{a^{3}}{b^{3}}=\dfrac{b^{3}}{c^{3}}=\dfrac{c^{3}}{d^{3}}=\dfrac{(a+b+c)^{3}}{(b+c+d)^{3}}=\dfrac{a}{b}.\dfrac{b}{c}.\dfrac{c}{d}=\dfrac{a}{d}\\
\rightarrow \dfrac{(a+b+c)^{3}}{(b+c+d)^{3}}=\dfrac{a}{d}\\$