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Simplify. Write your answer using whole numbers and variables.\newline7j2−5j7j−5\frac{7j^2 - 5j}{7j - 5}

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newline7j2−5j7j−5\frac{7j^2 - 5j}{7j - 5}
  1. Identify Terms: Identify the terms in the numerator and the denominator.\newlineThe numerator is 7j2−5j7j^2 - 5j, and the denominator is 7j−57j - 5.
  2. Factor Out Common Term: Factor out the common term in the numerator.\newlineThe common term in the numerator is jj. Factor jj out of 7j2−5j7j^2 - 5j to get j(7j−5)j(7j - 5).
  3. Cancel Common Factor: Cancel out the common factor from the numerator and the denominator.\newlineThe expression j(7j−5)/(7j−5)j(7j - 5)/(7j - 5) has a common factor of (7j−5)(7j - 5) in the numerator and the denominator. Cancel out this common factor.
  4. Write Simplified Expression: Write the simplified expression.\newlineAfter canceling out the common factor, the simplified expression is jj.

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