Question

Rút gọn \(A=\dfrac{32x-8x^2+2x^3}{x^3+64}\)

Answer 1

\(A =\frac{32x - 8x^{2} + 2x^{3}}{x^{3}+ 64}\)\(= \frac{2x(16 - 4x + x^{2})}{(x + 4)(x^{2} - 4x + 16)}= \frac{2x(x^{2} - 4x + 16)}{(x + 4)(x^{2} - 4x + 16)}= \frac{2x}{x + 4}\)

Answer 2

\(A=\dfrac{32x-8x^2+2x^3}{x^3+64}\)

\(=\dfrac{2x\left(16-4x+x^2\right)}{\left(x+4\right)\left(x^2-4x+16\right)}\)

\(=\dfrac{2x\left(x^2-4x+16\right)}{\left(x+4\right)\left(x^2-4x+16\right)}\)

\(=\dfrac{2x}{x+4}\).