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Simplify. Write your answer using whole numbers and variables.\newlineq210qq10\frac{q^2 - 10q}{q - 10}

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Q. Simplify. Write your answer using whole numbers and variables.\newlineq210qq10\frac{q^2 - 10q}{q - 10}
  1. Identify Expression: Identify the expression to be simplified.\newlineThe expression given is (q210q)/(q10)(q^2 - 10q) / (q - 10).
  2. Factor Numerator: Factor the numerator.\newlineThe numerator q210qq^2 - 10q can be factored by taking out the common factor qq.\newlineq210q=q(q10)q^2 - 10q = q(q - 10)
  3. Simplify Expression: Simplify the expression.\newlineNow we have q(q10)/(q10)q(q - 10) / (q - 10). Since (q10)(q - 10) is both in the numerator and the denominator, they cancel each other out.\newline(q(q10))/(q10)=q(q(q - 10)) / (q - 10) = q
  4. Check Restrictions: Check for any restrictions on the variable.\newlineWe must remember that the original denominator was (q10)(q - 10), so qq cannot be equal to 1010 because it would make the original denominator zero, which is undefined.

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