Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(9,\dfrac{x^2-81}{10x^2-90x}=\dfrac{\left(x-9\right)\left(x+9\right)}{10x\left(x-9\right)}=\dfrac{x+9}{10x}\Rightarrow M=10x\\ 10,\dfrac{2x^2+3x}{4x^2-9}=\dfrac{x\left(2x+3\right)}{\left(2x-3\right)\left(2x+3\right)}=\dfrac{x}{2x-3}\Rightarrow A=x\)
\(9,M=\dfrac{\left(x+9\right)\left(10x^2-90x\right)}{x^2-81}=\dfrac{10x\left(x+9\right)\left(x-9\right)}{\left(x-9\right)\left(x+9\right)}=10x\\ 10,A=\dfrac{\left(2x-3\right)\left(2x^2+3x\right)}{4x^2-9}=\dfrac{x\left(2x+3\right)\left(2x-3\right)}{\left(2x-3\right)\left(2x+3\right)}=x\)
Bài 3:
b: \(\dfrac{1}{x^2-2x}=\dfrac{x+2}{x\left(x-2\right)\left(x+2\right)}\)
\(\dfrac{2}{2x-4}=\dfrac{1}{x-2}=\dfrac{x\left(x+2\right)}{x\left(x-2\right)\left(x+2\right)}\)
\(\dfrac{x}{x-2}=\dfrac{x^2\left(x+2\right)}{x\left(x-2\right)\left(x+2\right)}\)
\(\left(a-b\right)^2=a^2-2ab+b^2=144\\ \Leftrightarrow154-2ab=144\\ \Leftrightarrow ab=5\\ \Leftrightarrow M=\left(a-b\right)^3+3ab\left(a-b\right)=12^3+3\cdot5\cdot12=1908\)