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Factor the expression completely.

-72x^(5)-32
Answer:

Factor the expression completely.\newline72x532 -72 x^{5}-32 \newlineAnswer:

Full solution

Q. Factor the expression completely.\newline72x532 -72 x^{5}-32 \newlineAnswer:
  1. Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression 72x532-72x^{5}-32.\newlineThe GCF of the numerical coefficients 7272 and 3232 is 88, and since there is no xx term in 32-32, the GCF is just 8-8.
  2. Factor out GCF: Factor out the GCF from the expression.\newline72x532=8(9x5+4)-72x^{5}-32 = -8(9x^{5}+4)
  3. Look for common factors: Look for any common factors or identities in the expression inside the parentheses.\newlineThe expression 9x5+49x^{5}+4 does not have a common factor, but it is a sum of two terms where one is a perfect fifth power and the other is a perfect square. However, there is no simple factorization for a sum of a fifth power and a square, so the expression inside the parentheses cannot be factored further.

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