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Factor y^2-49

Problem

y2−49

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. Calculate a=√(,y2)=y and b=√(,49)=7

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

  5. Substitute the values of a and b into the factored form.

Final Answer

y2−49=(y−7)*(y+7)


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