Respuesta :

Answer:

regular rectangle:

He is the same length of the sides, everything is the same, the length and width are the same, nothing is different.

but if

long rectangle:

each of them has the same 2 lines, the same length but different width, the same width but different length.

xero099

The difference of squares is a quadratic polynomial of the form is a² - b² = (a + b) · (a - b).

What is a difference of two squares?

Difference of two squares is a particular case of a second order polynomial whose form is the following:

a² - b² = (a + b) · (a - b)

Now we proceed to demostrate the equivalence between the two expressions:

a² - b² → (a + b) · (a - b)

a² - b²                             Given

(a² - b²) + 0                     Modulative property

(a² - b²) + a · b - a · b      Existence of additive inverse

(a² + a · b) + (- b² - a · b) Associative property

a · (a + b) - b · (a + b)      Definition of power / Distributive property / (- a) · b = - a · b

(a + b) · (a - b)                 Commutative and distributive property /  

(a + b) · (a - b) → a² - b²

(a + b) · (a - b)                 Given

(a + b) · a + (a + b) · (- b) Distributive property

a² + a · b - a · b - b²        Distributive property / (- a) · b = - a · b / Definition of power

(a² - b²) + (a · b - a · b)    Associative property

a² - b²                             Existence of the additive inverse / Modulative property / Result

Hence, the difference of squares is a quadratic polynomial of the form is a² - b² = (a + b) · (a - b).

Remarks

The statement is incomplete. The complete form is: What is a difference of two squares?

To learn more on difference of two squares: https://brainly.com/question/11801811

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