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Factor.\newline9h39h22h+29h^3 - 9h^2 - 2h + 2

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Q. Factor.\newline9h39h22h+29h^3 - 9h^2 - 2h + 2
  1. Identify Common Factors: Look for common factors in pairs of terms. We can group the terms into two pairs: 9h39h29h^3 - 9h^2 and 2h+2 -2h + 2.
  2. Factor First Pair: Factor out the common factor from the first pair of terms.\newlineThe common factor in the first pair 9h39h29h^3 - 9h^2 is 9h29h^2.\newline9h39h2=9h2(h1)9h^3 - 9h^2 = 9h^2(h - 1)
  3. Factor Second Pair: Factor out the common factor from the second pair of terms.\newlineThe common factor in the second pair 2h+2-2h + 2 is 2-2.\newline2h+2=2(h1)-2h + 2 = -2(h - 1)
  4. Combine Factored Pairs: Write the expression with the factored pairs.\newlineNow we have 9h2(h1)2(h1)9h^2(h - 1) - 2(h - 1).
  5. Factor Common Binomial: Factor out the common binomial factor.\newlineThe common binomial factor is (h1)(h - 1).\newline9h2(h1)2(h1)=(h1)(9h22)9h^2(h - 1) - 2(h - 1) = (h - 1)(9h^2 - 2)