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Simplify. Write your answer using whole numbers and variables.\newline7j210j7j10\frac{7j^2 - 10j}{7j - 10}

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Q. Simplify. Write your answer using whole numbers and variables.\newline7j210j7j10\frac{7j^2 - 10j}{7j - 10}
  1. Identify like terms: Identify like terms and simplify the expression if possible.\newlineThe expression given is 7j210j7j107j^2 - \frac{10j}{7j} - 10. We first look for like terms to combine. In this case, there are no like terms to combine in the numerator or the denominator.
  2. Simplify fraction: Simplify the fraction within the expression.\newlineWe have a term with jj in both the numerator and the denominator (10j7j\frac{10j}{7j}). We can simplify this by dividing both the numerator and the denominator by jj.\newline10j7j=107\frac{10j}{7j} = \frac{10}{7}
  3. Substitute simplified fraction: Substitute the simplified fraction back into the expression.\newlineThe expression now becomes 7j2(107)107j^2 - (\frac{10}{7}) - 10. Since there is no jj term in the fraction 107\frac{10}{7}, we cannot combine it with the j2j^2 term.
  4. Combine constant terms: Combine the constant terms.\newlineWe have two constant terms, 107-\frac{10}{7} and 10-10, which we can combine by finding a common denominator.\newline10710=107707=807-\frac{10}{7} - 10 = -\frac{10}{7} - \frac{70}{7} = -\frac{80}{7}
  5. Write final expression: Write the final simplified expression.\newlineThe final expression, with the constant terms combined, is 7j2807.7j^2 - \frac{80}{7}.