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Simplify. Write your answer using whole numbers and variables.\newlineg2−10gg−10\frac{g^2 - 10g}{g - 10}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newlineg2−10gg−10\frac{g^2 - 10g}{g - 10}
  1. Identify Expression: Identify the expression to simplify.\newlineWe have the expression (g2−10g)/(g−10)(g^2 - 10g) / (g - 10). We should look for common factors in the numerator and the denominator that can be canceled out.
  2. Factor Numerator: Factor the numerator.\newlineThe numerator g2−10gg^2 - 10g can be factored by taking out the common factor gg.\newlineg2−10g=g(g−10)g^2 - 10g = g(g - 10)
  3. Rewrite Expression: Rewrite the expression with the factored numerator.\newlineNow the expression looks like this:\newlineg(g−10)g−10\frac{g(g - 10)}{g - 10}
  4. Cancel Common Factor: Cancel out the common factor.\newlineThe (g−10)(g - 10) term is present in both the numerator and the denominator, so we can cancel it out.\newlineg(g−10)g−10=g\frac{g(g - 10)}{g - 10} = g

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