Q. Simplify. Write your answer using whole numbers and variables.q−10q2−10q
Identify Expression: Identify the expression to be simplified.The expression given is (q2−10q)/(q−10).
Factor Numerator: Factor the numerator.The numerator q2−10q can be factored by taking out the common factor q.q2−10q=q(q−10)
Simplify Expression: Simplify the expression.Now we have q(q−10)/(q−10). Since (q−10) is both in the numerator and the denominator, they cancel each other out.(q(q−10))/(q−10)=q
Check Restrictions: Check for any restrictions on the variable.We must remember that the original denominator was (q−10), so q cannot be equal to 10 because it would make the original denominator zero, which is undefined.
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