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Simplify. Write your answer using whole numbers and variables.\newline9z2−8z9z−8\frac{9z^2 - 8z}{9z - 8}

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newline9z2−8z9z−8\frac{9z^2 - 8z}{9z - 8}
  1. Identify Terms: Identify the terms in the numerator and the denominator.\newlineThe numerator is 9z2−8z9z^2 - 8z, and the denominator is 9z−89z - 8.
  2. Factor Out Common Factor: Factor out the greatest common factor in the numerator.\newlineThe greatest common factor of 9z29z^2 and 8z8z is zz. So we factor zz out of the numerator.\newline9z2−8z=z(9z−8)9z^2 - 8z = z(9z - 8)
  3. Compare Numerator and Denominator: Observe the denominator and compare it with the factored numerator.\newlineThe denominator is 9z−89z - 8, which is the same as the factored part of the numerator.
  4. Simplify Expression: Simplify the expression by canceling out the common terms in the numerator and the denominator.\newlineSince 9z−89z - 8 is common to both the numerator and the denominator, we can cancel it out.\newlinez(9z−8)9z−8=z\frac{z(9z - 8)}{9z - 8} = z

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