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Difference of Squares Formula. The difference of square formula is an algebraic form of the equation used to express the differences between two square values. A difference of square is expressed in the form: a 2 – b 2, where both the first and last term is perfect squares. Factoring the difference of the two squares gives:
In mathematics, the difference of two squares is a squared (multiplied by itself) number subtracted from another squared number. Every difference of squares may be factored according to the identity = (+) in elementary algebra.
Formula to Calculate the Difference of Squares. The formula for the difference of squares is given as, a2 − b2 = (a + b) (a − b) or, a2 − b2 = (a − b) (a + b) Also Check: Sum of Squares Formula. Let’s go through an example given below to prove this difference of squares formula.
What Is the Difference of Squares Formula? The difference of squares is nothing but the subtraction of the square of one number from another number. The difference of squares formula for two values a and b can be given as follows. a 2 -b 2 = (a+b) (a-b) where, a is the first variable. b is the second variable. .
Demonstrates how to use the formula for finding the differences of squares, and warns against trying to factor a sum of squares.
The difference of two squares identity is a squared number subtracted from another squared number to get factorized in the form of \[a^2-b^2=(a+b)(a-b).\] We will also prove this identity by multiplying polynomials on the left side and getting equal to the right side.
Formula - Difference of Two Squares. a2 − b2 = (a + b)(a − b) (a + b)(a − b) = a2 − b2. Example. Using the difference of two squares formula, distribute each of the following paretheses: (x + 3)(x − 3) (x + 3) (x − 3) (x − 4)(x + 4) (x − 4) (x + 4) (2x + 5)(2x − 5) (2 x + 5) (2 x − 5) (3x + 2y)(3x − 2y) (3 x + 2 y) (3 x − 2 y) Solution +.
