Bài tập 39 trang 52 SGK Toán 8 Tập 1

a) \( \dfrac{5x+10}{4x-8}.\dfrac{4-2x}{x+2}\) 

\( =\dfrac{(5x+10).(4-2x)}{(4x-8).(x+2)}\)

\(=\dfrac{5(x+2).2(2-x)}{4(x-2)(x+2)}\)

\( =\dfrac{5(2-x)}{2(x-2)} = \dfrac{{ - 5(x - 2)}}{{2(x - 2)}}=-\dfrac{5}{2}\)

b) \( \dfrac{x^{2}-36}{2x+10}.\dfrac{3}{6-x}\) 

\( = \dfrac{{({x^2} - 36).3}}{{(2x + 10)(6 - x)}} \)

\(= \dfrac{{ - 3(36 - {x^2})}}{{(2x + 10)(6 - x)}}\)

\(=\dfrac{-3(6-x)(x+6)}{2(x+5)(6-x)}\)

\(=-\dfrac{3(x+6)}{2(x+5)}\)

-- Mod Toán 8 HỌC247