Q. Divide. Write your answer in simplest form.3j+225j3−5j2÷5j2
Rewrite as multiplication: Rewrite the division problem as a multiplication problem by taking the reciprocal of the second fraction.The original expression is (25j3−5j2)/(3j+2)÷5j2. To divide by 5j2, we multiply by its reciprocal, which is 1/5j2.The new expression is (25j3−5j2)/(3j+2)×1/5j2.
Factor out common term: Factor out the common term in the numerator of the first fraction.The numerator 25j3−5j2 can be factored to 5j2(5j−1).The factored expression is (5j2(5j−1))/(3j+2)×5j21.
Cancel common terms: Cancel out the common terms in the numerator of the first fraction and the denominator of the second fraction.The 5j2 in the numerator and the 5j2 in the denominator cancel each other out.The simplified expression is (5j−1)/(3j+2).
Check for further simplification: Check if the remaining expression can be simplified further.The expression (5j−1)/(3j+2) cannot be simplified further as there are no common factors and it is not possible to factorize the terms further.
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