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

Factor completely:\newline10(6x+7)6−(6x+7)7 10(6 x+7)^{6}-(6 x+7)^{7} \newlineAnswer:

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Full solution

Q. Factor completely:\newline10(6x+7)6−(6x+7)7 10(6 x+7)^{6}-(6 x+7)^{7} \newlineAnswer:
  1. Identify Common Factor: Identify the common factor in both terms.\newlineThe common factor in both terms is (6x+7)6(6x+7)^{6} because it is the highest power of (6x+7)(6x+7) that divides both terms.
  2. Factor Out Common Factor: Factor out the common factor from both terms.\newlineWe can write the expression as (6x+7)6×[10−(6x+7)](6x+7)^{6} \times [10 - (6x+7)].
  3. Simplify Expression: Simplify the expression inside the brackets.\newlineSubtracting 6x+76x+7 from 1010 gives us 10−(6x+7)=10−6x−7=3−6x10 - (6x+7) = 10 - 6x - 7 = 3 - 6x.
  4. Write Final Form: Write the final factored form.\newlineThe completely factored form of the expression is (6x+7)6×(3−6x)(6x+7)^{6} \times (3 - 6x).

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