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Exercise

$32-8n^2$

Step-by-step Solution

Learn how to solve factor by difference of squares problems step by step online. Factor the expression 32-8n^2. Factor the polynomial 32-8n^2 by it's greatest common factor (GCF): 8. Calculate the power \sqrt{4}. Any expression multiplied by 1 is equal to itself. Simplify \sqrt{n^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}.
Factor the expression 32-8n^2

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Final answer to the exercise

$8\left(2+n\right)\left(2-n\right)$

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  • Integrate by partial fractions
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  • FOIL Method
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  • Integrate by trigonometric substitution
  • Weierstrass Substitution
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Main Topic: Factor by Difference of Squares

The difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2=(a+b)(a-b) in elementary algebra.

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