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Simplify. Write your answer using whole numbers and variables.\newlinec2+8cc+8\frac{c^2 + 8c}{c + 8}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newlinec2+8cc+8\frac{c^2 + 8c}{c + 8}
  1. Write Expression: Write down the expression.\newlineThe expression given is (c2+8c)/(c+8)(c^2 + 8c) / (c + 8).
  2. Factor Numerator: Factor the numerator.\newlineWe look for common factors in the terms of the numerator. The terms c2c^2 and 8c8c have a common factor of cc.\newlineSo, we factor out cc from the numerator: c(c+8)c(c + 8).
  3. Simplify Expression: Simplify the expression.\newlineNow we have c(c+8)/(c+8)c(c + 8) / (c + 8). Since (c+8)(c + 8) is a common factor in the numerator and the denominator, we can cancel it out.\newlineThis leaves us with c/1c / 1, which simplifies to cc.
  4. Check Restrictions: Check for any restrictions.\newlineWe must remember that we cannot divide by zero, so c+8c + 8 cannot be equal to zero. This means that cc cannot be equal to −8-8. As long as cc is not −8-8, the simplification is valid.

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