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Factor the expression completely.

-63x^(2)-9
Answer:

Factor the expression completely.\newline63x29 -63 x^{2}-9 \newlineAnswer:

Full solution

Q. Factor the expression completely.\newline63x29 -63 x^{2}-9 \newlineAnswer:
  1. Identify Common Factor: Identify the common factor in both terms of the expression 63x29-63x^2 - 9. Both terms have a common factor of 9-9 since 9-9 is a factor of 63-63 and itself.
  2. Factor Out Common Factor: Factor out the common factor 9-9 from the expression.63x29=9(7x2+1)-63x^2 - 9 = -9(7x^2 + 1)
  3. Check Further Factoring: Check if the remaining expression 7x2+17x^2 + 1 can be factored further.\newlineThe expression 7x2+17x^2 + 1 is a sum of squares and cannot be factored over the real numbers since it does not fit the difference of squares pattern a2b2a^2 - b^2.
  4. Write Final Factored Form: Write down the final factored form of the expression.\newlineThe completely factored form of the expression is 9(7x2+1)-9(7x^2 + 1).

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