Factor the following as the difference of two squares. Be sure to factor completely.
$36 a^{2} - 25 b^{2} =$

Answer

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Answer

$(6 a + 5 b) (6 a - 5 b)$

Steps

Step 1 ：Identify $A^{2}$ and $B^{2}$ in the given expression $36 a^{2} - 25 b^{2}$

Step 2 ：Find the square roots of $A^{2}$ and $B^{2}$ , $A = \sqrt{36 a^{2}} = 6 a$ and $B = \sqrt{25 b^{2}} = 5 b$

Step 3 ：Apply the difference of two squares formula $(A + B) (A - B)$

Step 4 ： $(6 a + 5 b) (6 a - 5 b)$