#5. Difference of Squares
Translate the following equation from standard to factored form by factoring.
2
16x +-25
To factor the difference of squares equation 16x^2 - 25, we first identify that this equation is in the form of (a^2 - b^2), where a = 4x and b = 5.
To factor this equation, we use the formula for difference of squares, which is (a + b)(a - b). Plugging in the values of a and b, we get:
= (4x + 5)(4x - 5)
So, the factored form of the equation 16x^2 - 25 is (4x + 5)(4x - 5)