Answer: Option A) The difference of two perfect squares
Explanations:
To appropriately describe this problem, let us consider the options one after the other.
Factoring the difference of two perfect squares: The difference of two squares is the product of its sum and difference
An example can be a² - b²:
a² - b² = (a - b) (a + b)
Note: A prime quadration equation cannot be factored. An example of prime quadractic equation is x² + 5x + 5 = 0. There are no factors of 5 that can sum up to give 5( in the middle).
If the leading coefficient is zero
A quadratic equation is generall of the form ax² + bx + c = 0
If the leading coefficient is zero, the equation reduces to bx + c, which can be solved without necessarily factoring.
If the leading coeffiecient is not 1 and the constant is a large number, it will be difficult to get the product of two large numbers that will sum up to the number in the middle. It will be better in this case to use the quadratic equation formula (Almighty formula)