Factor 4a^2-25

Problem

4*a2−25

Solution

1. Identify the expression as a difference of two squares, which follows the pattern x2−y2=(x−y)*(x+y)

2. Rewrite each term as a perfect square.

4*a2=(2*a)2

25=5

3. Apply the formula for the difference of squares using x=2*a and y=5

(2*a)2−5=(2*a−5)*(2*a+5)

Final Answer

4*a2−25=(2*a−5)*(2*a+5)

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