rewrite as equivalent rational expressions with denominator (3x-8) (x-5) (x-3). 4/3x2-23x+40,9x/3x2-17x+24

Step-by-step explanation:

/frac{4}{3x²-23x+40}

=/frac{4}{3x²-15x-8x+40}

=/frac{4}{3x (x-5) - 8 (x-5) }

=/frac{4}{ (x-5) (3x-8) }

=/frac{4 (x-3) }{ (x-5) (3x-8) (x-3) }

2.

/frac{9x}{3x²-17x+24}

=/frac{9x}{3x²-9x-8x+24}

=/frac{9x}{3x (x-3) - 8 (x-3) }

=/frac{9x}{ (x-3) (3x-8) }

=/frac{9x (x-5) }{ (3x-8) (x-5) (x-3) }