Simplify. Express your answer as a single fraction in simplest form. 3/v^4 - 4u^5/5 ______

Question

Bytelearn · Accepted Answer

Identify LCM: Identify the least common multiple (LCM) of the denominators $v^4$ and 5. Since $v^4$ and 5 have no common factors other than 1, the LCM is simply $v^4 \times 5 = 5v^4$.Rewrite fractions: Rewrite each fraction with the LCM as the new denominator. To do this, multiply the numerator and denominator of the first fraction by 5, and multiply the numerator and denominator of the second fraction by $v^4$. This gives us $\frac{3 \times 5}{v^4 \times 5} - \frac{4u^5 \times v^4}{5 \times v^4}$.Perform multiplication: Perform the multiplication in the numerators and denominators. This results in $\frac{15}{5v^4} - \frac{4u^5v^4}{5v^4}$.Combine numerators: Since the denominators are now the same, we can combine the numerators. This gives us $\frac{15 - 4u^5v^4}{5v^4}$.Check for simplification: Check if the numerator can be simplified further. In this case, there are no common factors between 15 and $4u^5v^4$, so the fraction is already in its simplest form.

Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{3}{v^4} - \frac{4u^5}{5}$

Full solution

More problems from Add and subtract rational expressions

Related topics

Simplify. Express your answer as a single fraction in simplest form. \newline3v4−4u55\frac{3}{v^4} - \frac{4u^5}{5}v43​−54u5​

Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{3}{v^4} - \frac{4u^5}{5}$