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Factor completely: 16x^(2)(x-10)-9(x-10) Answer:

Factor completely:\newline16x2(x−10)−9(x−10) 16 x^{2}(x-10)-9(x-10) \newlineAnswer:

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Evaluate definite integrals using the chain ruleright chevron icon

Full solution

Q. Factor completely:\newline16x2(x−10)−9(x−10) 16 x^{2}(x-10)-9(x-10) \newlineAnswer:
  1. Factorize Difference of Squares: Now we look at the expression inside the parentheses: 16x2−916x^2 - 9. This is a difference of squares, which can be factored into (4x+3)(4x−3)(4x + 3)(4x - 3). So, (x−10)(16x2−9)(x-10)(16x^2 - 9) becomes (x−10)(4x+3)(4x−3)(x-10)(4x + 3)(4x - 3).
  2. Final Factored Form: We have factored the expression completely, and there are no further factors common to all terms.\newlineThe final factored form is (x−10)(4x+3)(4x−3)(x-10)(4x + 3)(4x - 3).

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