Question

 giúp em 2 câu này vs ạ

Answer 1

Câu 4:

a: ĐKXĐ: \(x\notin\left\{\dfrac{1}{2};-\dfrac{1}{2}\right\}\)

b: \(A=\dfrac{1-2x}{1-4x^2}\)

\(=\dfrac{1-2x}{\left(1-2x\right)\left(1+2x\right)}\)

\(=\dfrac{1}{2x+1}\)

c: Để A là số nguyên thì \(2x+1\inƯ\left(1\right)\)

=>\(2x+1\in\left\{1;-1\right\}\)

=>\(2x\in\left\{0;-2\right\}\)

=>\(x\in\left\{0;-1\right\}\)

Câu 3:

a: \(A=\dfrac{3x-2}{x}-\dfrac{x-7}{x-5}-\dfrac{10}{x^2-5x}\)

\(=\dfrac{3x-2}{x}-\dfrac{x-7}{x-5}-\dfrac{10}{x\left(x-5\right)}\)

\(=\dfrac{\left(3x-2\right)\left(x-5\right)-x\cdot\left(x-7\right)-10}{x\left(x-5\right)}\)

\(=\dfrac{3x^2-17x+10-x^2+7x-10}{x\left(x-5\right)}\)

\(=\dfrac{2x^2-10x}{x\left(x-5\right)}=\dfrac{2x\left(x-5\right)}{x\left(x-5\right)}=2\)