Q. Simplify. Express your answer as a single fraction in simplest form. w2x3−43w3x
Identify LCM: Identify the least common multiple (LCM) of the denominators w2x and 4. Since w2x and 4 have no common factors other than 1, the LCM is simply their product, which is 4w2x.
Convert fractions: Convert each fraction to have the LCM as the denominator. To do this, multiply the numerator and denominator of the first fraction by 4, and multiply the numerator and denominator of the second fraction by w2x. This gives us (3×4)/(w2x×4)−(3w3x×w2x)/(4×w2x).
Perform multiplication: Perform the multiplication in the numerators and denominators. This results in 4w2x12−4w2x3w5x2.
Simplify expression: Simplify the expression by subtracting the numerators since the denominators are the same. The final simplified expression is (12−3w5x2)/4w2x.
Check for further simplification: Check if the numerator can be simplified further. Since there are no common factors between 12 and 3w5x2, the expression is already in its simplest form.
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