Question

(x2-5/4x3+11/8x2-1/2x)÷(x2-1/2x)​

Answer 1

Respuesta:

(x2-5/4x3+11/8x2-1/2x)÷(x2-1/2x)​

Explicación paso a paso:

$\frac{\left(x^2-\frac{5}{4}x^3+\frac{11}{8}x^2-\frac{1}{2}x\right)}{\left(x^2-\frac{1}{2}x\right)​}\\\\\frac{x^2\left(1+\frac{11}{8}\right)-\frac{5}{4}x^3-\frac{1}{2}x}{x^2-\frac{1}{2}x}\\\\=\frac{x\left(\left(1+\frac{11}{8}\right)x-\frac{5x^2}{4}-\frac{1}{2}\right)}{x^2-\frac{1}{2}x}\\\\=\frac{x\left(\left(1+\frac{11}{8}\right)x-\frac{5x^2}{4}-\frac{1}{2}\right)}{x\left(x-\frac{1}{2}\right)}\\\\=\frac{\left(1+\frac{11}{8}\right)x-\frac{5x^2}{4}-\frac{1}{2}}{x-\frac{1}{2}}$

$=\frac{19x-10x^2-4}{4\left(2x-1\right)}\\\\=\frac{19x-10x^2-4}{8x-4}$