Express \(\cfrac{2x^3-54}{x^3+3x^2+9x}\) in lowest terms A) \(\cfr

1.	Express \(\cfrac{2x^3-54}{x^3+3x^2+9x}\) in lowest terms A) \(\cfrac{2x-6}{x}\)B) \(\cfrac{2(x-4)}{x^2}\)C) \(\cfrac{2(4-x)}{x}\)D) \(\cfrac{6-2x}{x}\)
Answer» Correct option is (A) \(\frac{2x-6}{x}\) \(\frac{2x^3 -54}{x^3 +3x^2 +9x}\) \(=\frac{2(x^3-27)}{x(x^2+3x+9)}\) \(=\frac{2(x-3)(x^2+3x+9)}{x(x^2+3x+9)}\) \(=\frac{2(x-3)}{x}\) \(=\frac{2x-6}{x}\) Correct option is A) \(\cfrac{2x-6}{x}\)

Express \(\cfrac{2x^3-54}{x^3+3x^2+9x}\) in lowest terms A) \(\cfrac{2x-6}{x}\)B) \(\cfrac{2(x-4)}{x^2}\)C) \(\cfrac{2(4-x)}{x}\)D) \(\cfrac{6-2x}{x}\)

Answer»

Correct option is (A) \(\frac{2x-6}{x}\)

\(\frac{2x^3 -54}{x^3 +3x^2 +9x}\) \(=\frac{2(x^3-27)}{x(x^2+3x+9)}\)

\(=\frac{2(x-3)(x^2+3x+9)}{x(x^2+3x+9)}\)

\(=\frac{2(x-3)}{x}\) \(=\frac{2x-6}{x}\)

Correct option is A) \(\cfrac{2x-6}{x}\)