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Simplify. Express your answer as a single fraction in simplest form. \newline8vw3−v4w44\frac{8vw}{3} - \frac{v^4w^4}{4}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline8vw3−v4w44\frac{8vw}{3} - \frac{v^4w^4}{4}
  1. Find LCM of denominators: Find the least common multiple (LCM) of the denominators 33 and 44. The LCM of 33 and 44 is 1212.
  2. Make denominators the same: Make the denominators the same by multiplying the first fraction by 44 and the second fraction by 33. This gives us (8vw×4)/12−(v4w4×3)/12(8vw \times 4)/12 - (v^4w^4 \times 3)/12.
  3. Perform numerator multiplication: Perform the multiplication in the numerators. This results in (32vw)/12−(3v4w4)/12(32vw)/12 - (3v^4w^4)/12.
  4. Simplify the expression: Simplify the expression by subtracting the numerators since the denominators are the same. The final simplified expression is (32vw−3v4w4)/12(32vw - 3v^4w^4)/12.

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