Question

rewrite as equivalent rational expressions with denominator \\((4d - 1)(d - 5)(d - 8)\\):

\\\frac{4}{4d^2 - 21d + 5}, \frac{5d}{4d^2 - 33d + 8}\\

provide your answer below:

Explanation:

Factor the first denominator

Using the Trinomial Factorization knowledge point

$$
LATEXBLOCK0
$$

Factor the second denominator

Using the Trinomial Factorization knowledge point

$$
LATEXBLOCK1
$$

Rewrite the first rational expression

Using the Equivalent Rational Expressions knowledge point

$$
LATEXBLOCK2
$$

Rewrite the second rational expression

Using the Equivalent Rational Expressions knowledge point

$$
LATEXBLOCK3
$$

Answer:

\(\frac{4d - 32}{(4d - 1)(d - 5)(d - 8)}\), \(\frac{5d^2 - 25d}{(4d - 1)(d - 5)(d - 8)}\)