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Factor w^2-16

Problem

w2−16

Solution

  1. Identify the expression as a difference of two squares, which follows the pattern a2−b2

  2. Determine the values of a and b by taking the square root of each term.

  3. Find a=√(,w2)=w

  4. Find b=√(,16)=4

  5. Apply the formula for the difference of squares: a2−b2=(a−b)*(a+b)

  6. Substitute the values of a and b into the formula.

Final Answer

w2−16=(w−4)*(w+4)


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