\(5\left(x+2\right)\left(x-2\right)-\frac{1}{2}\left(6-8x^2\right)+17\)
\(=5\left(x^2-4\right)-\left(3-4x^2\right)+17\)
\(=5x^2-20-3+4x^2+17\)
\(=9x^2-6\)
\(5\left(x+2\right)\left(x-2\right)-\frac{1}{2}\left(6-8x^2\right)+17\)
\(=5\left(x^2-4\right)-\left(3-4x^2\right)+17\)
\(=5x^2-20-3+4x^2+17\)
\(=9x^2-6\)
Rút gọn các biểu thức sau:
\(a,\left(x+1\right)^2-\left(x-1\right)^2-3\left(x+1\right)\left(x-1\right)\)
\(b,5\left(x+2\right)\left(x-2\right)-\frac{1}{2}\left(6-8x\right)^2+17\)
rút gọn các biểu thức sau
a) \(\left(x+1\right)^2.\left(x-1\right)^2-3\left(x+1\right).\left(x-1\right)\)
b) \(5.\left(x+2\right).\left(x-2\right)-\frac{1}{2}.\left(6-8x\right)^2+17\)
Rút gọn biểu thức
1. \(5\left(x+2\right)\left(x-2\right)-\frac{1}{2}\left(6-8x\right)^2+17\)
2. \(\left(x^2-1^3\right)-\left(x^4+x^2+1\right)\left(x^2-1\right)\)
Rút Gọn:
\(a:\left(x+1\right)-\left(x-1\right)-3\cdot\left(x+1\right)\cdot\left(x-1\right)\)
\(b:5\cdot\left(x+2\right)\cdot\left(x-2\right)-\frac{1}{2}\cdot\left(6-8x\right)^2+17\)
Rút gọn các biểu thức:
a) \(\left(x+1\right)^2\)- \(\left(x-1\right)^2\)- 3 ( x + 1 ) ( x - 1 )
b) 5(x + 2 ) ( x - 2 ) - \(\frac{1}{2}\)\(\left(6-8x\right)^2\)+ 17
Cho \(A=\left(\frac{x+2}{x-1}\right)\left(\frac{x^3}{2x+2}+1\right)-\left(\frac{8x+7}{2x^2-2}\right)\)
Rút gọn A
Rút gọn:
\(\frac{1}{\left(x+y\right)^3}\cdot\left(\frac{1}{x^3}+\frac{1}{y^3}\right)+\frac{3}{\left(x+y\right)^4}\cdot\left(\frac{1}{x^2}+\frac{1}{y^2}\right)+\frac{6}{\left(x+y\right)^5}\cdot\left(\frac{1}{x}+\frac{1}{y}\right)\)
Rút gọn phân thức
\(\frac{1}{x\left(x-1\right)}+\frac{1}{\left(x-1\right)\left(x-2\right)}+\frac{1}{\left(x-2\right)\left(x-3\right)}+..+\frac{1}{\left(x-4\right)\left(x-5\right)}\)
Rút gọn \(\frac{1}{\left(x+1\right)\left(x+2\right)}+\frac{1}{\left(x+2\right)\left(x+3\right)}+\frac{1}{\left(x+3\right)\left(x+4\right)}+\frac{1}{\left(x+4\right)\left(x+5\right)}\)