Set of notable products and related function

Function

Intended for experimental study, mathematics laboratory and conducting mathematical experiments on: Mathematics. Functions. Characteristics of the graph of an affine function, positive slope. The affine function, a first-degree polynomial function. The slope of the affine function, a first-degree polynomial function. Characteristics of the graph of an affine function, negative slope. Algebra. The notable product of the square of the sum of two terms. Expressions called notable products. The notable product of the square of the sum of two terms. The proof of the veracity of the rule of the notable product of the square of the sum of two terms. The notable product of the square of the difference of two terms. The proof of the veracity of the rule of the notable product of the square of the difference of two terms. Plane and metric geometry. The Pythagorean theorem. Applying the Pythagorean theorem to a right triangle contained in a trigonometric circle with center O. Observing the hypotenuse, the longer leg and the shorter leg, etc.