rachelcapt said:can someone / anyone tell me the trick to solve
501^2 - 400^2
Beginning to feel a little stupid now
The secret to solving 501^2 - 400^2 is understanding the difference of squares formula, which states that (a^2 - b^2) = (a + b)(a - b). This formula can be applied to the given equation by letting a = 501 and b = 400, resulting in (501 + 400)(501 - 400) = (901)(101) = 91,001.
The difference of squares formula is important because it allows us to easily solve equations that involve squared terms. By factoring the equation into (a + b)(a - b), we can quickly find the solution without having to use more complex methods.
Yes, the difference of squares formula can be applied to any equation that involves squared terms. It is a useful tool in solving various mathematical problems.
The difference of squares formula is commonly used in algebra, trigonometry, and calculus. It is also useful in finding the roots of quadratic equations and simplifying complicated fractions.
Yes, there are other formulas and techniques that can be used to solve equations involving squared terms, such as the completing the square method and the quadratic formula. However, the difference of squares formula is often the simplest and most efficient method for solving these types of equations.