\(\left(\frac{1}{2}m-3\right)\left(\frac{1}{3}m+3\right)=\frac{1}{6}m^2+\frac{3}{2}m-m-9=\frac{1}{6}m^2+\frac{1}{2}m-9\)
\(\left(\frac{1}{2}m-3\right)\left(\frac{1}{3}m+3\right)=\frac{1}{6}m^2+\frac{3}{2}m-m-9=\frac{1}{6}m^2+\frac{1}{2}m-9\)
Tìm x : \(\left(2-x\right):\left\{\frac{m^2-a^2}{m^3+a^3}.\left[\left(m-\frac{m^2+a^2}{a}\right):\left(\frac{1}{m}-\frac{1}{a}\right)\right]\right\}=1\)
Tìm x : \(\left(2-x\right):\left\{\frac{m^2-a^2}{m^3+a^3}.\left[\left(m-\frac{m^2+a^2}{a}\right)\div\left(\frac{1}{m}-\frac{1}{a}\right)\right]\right\}=1\)
M=\(\left(x-3\right)^3-\left(x+1\right)^3+12x\left(x-1\right)\)
a) Rú gọn M
b) Tính gt M tại x =\(-\frac{2}{3}\)
c) Tìm x để M=-16
Không ai post bài lên thì khuyến mãi cho mấy người đang free bài tự chế đề nè
Tính M
\(M=\frac{\left(1^3+2^3+3^3\right)\left(2^3+3^3+4^3\right)......\left(98^3+99^3+100^3\right)}{\left(1+2+3\right)\left(2+3+4\right)........\left(98+99+100\right)}\)
Rút gọn : \(\frac{1}{\left(x+y\right)^3}.\left(\frac{1}{x^3}+\frac{1}{y^3}\right)+\frac{3}{\left(x+y\right)^5}\left(\frac{1}{x^2}+\frac{1}{y^2}\right)+\frac{6}{\left(x+y\right)^5}\left(\frac{1}{x}+\frac{1}{y}\right)\)
Tính A=\(\frac{\left(1^4+\frac{1}{4}\right)\left(3^4+\frac{1}{4}\right)\left(5^4+\frac{1}{4}\right)...\left(11^4+\frac{1}{4}\right)}{\frac{\left(2^4+\frac{1}{4}\right)\left(4^4+\frac{1}{4}\right)\left(6^4+\frac{1}{4}\right)...\left(12^4+\frac{1}{4}\right)}{ }}\)
Giải các phương trình:
a) \(\frac{1}{x-1}-\frac{3x^2}{x^3-1}=\frac{2x}{x^2+x+1}\)
b) \(\frac{3}{\left(x-1\right)\left(x-2\right)}+\frac{2}{\left(x-3\right)\left(x-1\right)}=\frac{1}{\left(x-2\right)\left(x-3\right)}\)
c) \(1+\frac{1}{x+2}=\frac{12}{8+x^3}\)
d) \(\frac{13}{\left(x-3\right)\left(2x+7\right)}+\frac{1}{2x+7}=\frac{6}{\left(x-3\right)\left(x+3\right)}\)
a) So \(M=\left(\frac{1}{2^2}-1\right)\left(\frac{1}{3^2}-1\right)\left(\frac{1}{4^2}-1\right)...\left(\frac{1}{100^2}-1\right)vs-\frac{1}{2}\)
b) \(N=\frac{\sqrt{x}+1}{\sqrt{x}-3}\). Tìm \(x\in Z\) để \(N\)là số nguyên dương
tìm x biết :
\(\frac{1}{\left(x-1\right)x}+\frac{1}{\left(x-2\right)\left(x-1\right)}+\frac{1}{\left(x-3\right)\left(x-2\right)}+\frac{1}{\left(x-4\right)\left(x-3\right)}=\frac{x}{x^2-4x}\)