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Factor the quadratic expressions: x2 - 5x + 6 and y2 - y - 20.

Mathematics

ScanSolve AI Answer

Answer

x2−5x+6=(x−2)(x−3)x^2 - 5x + 6 = (x-2)(x-3)

Step-by-step solution

3 steps

Here are the factorizations for the given expressions:

  1. For the expression x2−5x+6x^2 - 5x + 6:
  1. We need to find two numbers that multiply to 6 and add up to −5-5.

    The numbers are $-2$ and $-3$.
    
  2. Write the expression in factored form.

    $$
    x^2 - 5x + 6 = \boxed{(x-2)(x-3)}
    $$
    

    2. For the expression y2−y−20y^2 - y - 20:

  3. We need to find two numbers that multiply to −20-20 and add up to −1-1.

    The numbers
    
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