A² + B² = a + b like this your real life is it uses this like more. please say me in the answer please
Answers
Answer:
The difference of two squares is subtracting a square number from another squared number. And these numbers don’t have be perfect squares. Thankfully, difference of squares can be factored easily.
a² - b² is ubiquitous in mathematics and it is also supercalifragilisticexpialidocious for algebra.
If we speak algebraically:
(a + b) (a - b) = a² + ba - ab -b²
= a² - b²
But there is a different and beautiful way to represent a² - b². We can create multiple representations of this single concept. This is the beauty of mathematics. For instance geometric objects are so powerful to visualize algebraic formulas and equations.
***There is a beautiful book about geometrical proves of algebra that is called: The Elements of Euclid. You will love it if you have!
Let’s think about it geometrically a little bit.
This blue shape below has an area of a² - b². And we can reveal an algebraic identity by rearranging.