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Simplify. Write your answer using whole numbers and variables.\newlines2−9ss−9\frac{s^2 - 9s}{s - 9}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newlines2−9ss−9\frac{s^2 - 9s}{s - 9}
  1. Factor Numerator: Factor the numerator if possible.\newlineThe numerator s2−9ss^2 - 9s looks like it might be factorable because both terms have an ss in them. Let's factor out the common ss.\newlines2−9s=s(s−9)s^2 - 9s = s(s - 9)
  2. Simplify Expression: Simplify the expression by canceling out common factors.\newlineWe have the expression (s(s−9))/(s−9)(s(s - 9))/(s - 9). The (s−9)(s - 9) in the numerator and the denominator are the same and can be canceled out.\newline(s(s−9))/(s−9)=s(s(s - 9))/(s - 9) = s
  3. Check Restrictions: Check for any restrictions on the variable.\newlineWe must remember that the original denominator was s−9s - 9, which means ss cannot be equal to 99 because division by zero is undefined.\newlineSo, s≠9s \neq 9 is a restriction on the variable.

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