Bài 2 trang 39 SGK Toán 8 Chân trời sáng tạo Tập 1 - KNTT

a) Ta có: $\frac{5x}{4y^3}:\left(-\frac{x^4}{20y}\right)=\frac{5x}{4y^3}.\frac{-20y}{x^4}=\frac{-25}{x^3{y}^2}$

b) Ta có: $\frac{x^2-16}{x+4}:\frac{2x-8}{x}=\frac{\left(x+4\right)\left(x-4\right)}{x+4}.\frac{x}{2\left(x-4\right)}=\frac{\left(x-4\right).x}{2\left(x-4\right)}=\frac{x}{2}$

c) Ta có: $\frac{2x+6}{x^3-8}:\frac{{\left(x+3\right)}^3}{2x-4}=\frac{2\left(x+3\right)}{\left(x-2\right)\left(x^2+2x+4\right)}.\frac{2\left(x-2\right)}{{\left(x+3\right)}^3}$

$=\frac{2\left(x+3\right).2\left(x-2\right)}{\left(x-2\right)\left(x^2+2x+4\right).{\left(x+3\right)}^3}=\frac{4}{\left(x^2+2x+4\right){\left(x+3\right)}^2}$

-- Mod Toán 8 HỌC247