Factor 8x^2-50

Problem

8*x2−50

Solution

1. Identify the greatest common factor (GCF) for the terms 8*x2 and 50

2. Factor out the GCF, which is 2

2*(4*x2−25)

3. Recognize that the expression inside the parentheses, 4*x2−25 is a difference of squares.

4. Apply the formula for the difference of squares, a2−b2=(a−b)*(a+b) where a=2*x and b=5

2*((2*x)2−5)

5. Rewrite the expression in its completely factored form.

2*(2*x−5)*(2*x+5)

Final Answer

8*x2−50=2*(2*x−5)*(2*x+5)

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