Simplify. Express your answer as a single fraction in simplest form. 4/b^4 - 4/9bc^4 ______

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Identify common denominator: Identify the common denominator. The common denominator for the fractions 4/b^4 and 4/9bc^4 is 9b^4c^4 because it is the least common multiple of b^4 and 9bc^4.Rewrite with common denominator: Rewrite each fraction with the common denominator. To rewrite 4/b^4 with the common denominator, multiply both the numerator and the denominator by 9c^4. To rewrite 4/9bc^4 with the common denominator, multiply both the numerator and the denominator by b^3. 4/b^4 = (4 * 9c^4)/(b^4 * 9c^4) 4/9bc^4 = (4 * b^3)/(9bc^4 * b^3)Perform multiplications: Perform the multiplications. Now, perform the multiplications to get the equivalent fractions with the common denominator. 4/b^4 = (4 * 9c^4)/(9b^4c^4) 4/9bc^4 = (4 * b^3)/(9b^4c^4)Combine fractions: Combine the fractions. Now that we have a common denominator, we can combine the fractions by subtracting the numerators. (4 * 9c^4)/(9b^4c^4) - (4 * b^3)/(9b^4c^4) = (36c^4 - 4b^3)/(9b^4c^4)Simplify numerator: Simplify the numerator. Simplify the numerator by combining like terms, if possible. In this case, there are no like terms to combine, so the numerator remains as is. (36c^4 - 4b^3)/(9b^4c^4)Check for simplification: Check for any further simplification. There is no further simplification possible because the terms in the numerator do not have common factors with the denominator. Final answer: (36c^4 - 4b^3)/(9b^4c^4)

Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{4}{b^4} - \frac{4}{9bc^4}$

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Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{4}{b^4} - \frac{4}{9bc^4}$