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Factor completely: (7x+9)^(6)-10(7x+9)^(5) Answer:

Factor completely:\newline(7x+9)6−10(7x+9)5 (7 x+9)^{6}-10(7 x+9)^{5} \newlineAnswer:

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Full solution

Q. Factor completely:\newline(7x+9)6−10(7x+9)5 (7 x+9)^{6}-10(7 x+9)^{5} \newlineAnswer:
  1. Identify Common Factor: Identify the common factor in both terms.\newlineThe expression given is (7x+9)6−10(7x+9)5(7x+9)^{6}-10(7x+9)^{5}. We can see that (7x+9)5(7x+9)^{5} is a common factor in both terms.
  2. Factor Out Common Factor: Factor out the common factor (7x+9)5(7x+9)^{5}. We can write the expression as (7x+9)5×[(7x+9)−10](7x+9)^{5} \times [(7x+9) - 10].
  3. Simplify Inside Brackets: Simplify the expression inside the brackets.\newlineNow we simplify (7x+9)−10(7x+9) - 10, which gives us 7x−17x - 1.
  4. Write Final Factored Form: Write the final factored form.\newlineThe completely factored form of the expression is (7x+9)5×(7x−1)(7x+9)^{5} \times (7x - 1).

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