a2 – b2 Square Formula Proof
a2 – b2 identity can be proved by simplifying the RHS of the identity. The a2 – b2 formula is given as,
a2 – b2 = (a – b)(a + b)
This formula is proved as,
RHS = (a+b) (a–b)
⇒ RHS = a (a–b) + b (a–b)
⇒ RHS = a2 – ab + ba – b2
⇒ RHS = a2 – ab + ab – b2
⇒ RHS = a2 – b2
⇒ RHS = LHS
Hence Proved.
a2 – b2 Formula
a2 – b2 formula in Algebra is the basic formula in mathematics used to solve various algebraic problems. a2 – b2 formula is also called the difference of square formula, as this formula helps us to find the difference between two squares without actually calculating the squares. The image added below shows the formula of a2 – b2
In this article, we will learn the a2 – b2 formula, a2 – b2 identity, examples, and others in detail.
Table of Content
- What is a2 – b2 Formula?
- Difference of Squares Formula
- a2 – b2 Square Formula Proof
- (a + b)2 and (a – b)2 Formula
- a2 – b2 Identity