Question

(x²+ 4x + 4 )(x² - 2x)/x² - 4 para x = 48

Answer 1

→ Lembrete:

⇒ $\left(a+b\right)^2=\left(a^2+2ab+b^2\right)$
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$\left(x^2+4x+4\right)\cdot \frac{\left(x^2-2x\right)}{x^2}-4\\\left(x+2\right)^2\cdot \frac{x\cdot \left(x-2\right)}{x^2}-4\\\left(x+2\right)^2\cdot \frac{\left(x-2\right)}{x}-4\\\left(48+2\right)^2\cdot \frac{48-2}{48}-4\\\frac{50^2\cdot 46}{48}-4\\\frac{2500\cdot 23}{24}-4\\\frac{2500\cdot 23}{24}-\frac{4\cdot 24}{24}\\\frac{57500-96}{24}\\\frac{57404}{24}\\\boxed{\bold{\frac{14351}{6}}}$