Write an expression equivalent to...

Question

Write an expression equivalent to (3x³) / (3x-6) with a denominator of (2-x)(x²+9).

Answer 1

(3x³) / (3x - 6)

= (3x³) / 3(x - 2)

= x³ / (x - 2)

= x³ / - (2 - x)

= - x³ / (2 - x)

= - x³·(x² + 9)/ (2 - x)·(x² + 9)

= (- x⁵ - 9x³) / (2 - x)·(x² + 9)