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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline8b310b8b^3 - 10b

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline8b310b8b^3 - 10b
  1. Find GCF Factors: We need to find the greatest common factor (GCF) of the terms 8b38b^3 and 10b10b. To do this, we will list the factors of the coefficients and the variables separately.\newlineFactors of 88: 1,2,4,81, 2, 4, 8\newlineFactors of 1010: 1,2,5,101, 2, 5, 10\newlineCommon factors of the coefficients: 22\newlineNow, for the variable part, both terms have 'bb' in common. The lowest power of 'bb' in both terms is b1b^1.\newlineSo, the GCF of 8b38b^3 and 10b10b is 10b10b22.
  2. Divide by GCF: Now we will divide each term by the GCF to find the remaining factors.\newlineFor 8b38b^3, we divide by 2b2b to get 4b24b^2.\newlineFor 10b10b, we divide by 2b2b to get 55.
  3. Write Factored Form: We can now write the original polynomial as the product of the GCF and the remaining factors.\newline8b310b=2b(4b25)8b^3 - 10b = 2b(4b^2 - 5)\newlineThis is the factored form of the polynomial.