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High School Mathematics 25+13 pts
Explain how the distributive property helps us multiply the following polynomials and why and how the final products differ:
● (a + b)^2,
● (a – b)^2, and
(a - b)(a + b).

Respuesta :

Answer:

[tex](a + b)^2=(a+b)(a+b)=(a_{1}+b_{1})(a_{2}+b_{2})[/tex]

[tex]a_{1}=a_{2}=a \text{ and } b_{1}=b_{2}=b[/tex]

I've done this way to make it easier to understand:

Using the distributive property, multipliying [tex]a_{1} \text{ and } a_{2}=a^2[/tex], [tex]a_{1} \text{ and } b_{2}=ab[/tex],

[tex]b_{1} \text{ and } a_{2}=ab[/tex], and [tex]b_{1} \text{ and } b_{2}=b^2[/tex]:

[tex](a + b)^2=a^2+ab+ab+b^2=a^2+2ab+b^2[/tex]

It is the same for [tex](a -b)^2[/tex]

[tex](a -b)^2=(a-b)(a-b)=a^2-2ab+b^2[/tex]

and [tex](a - b)(a + b)[/tex]

[tex](a - b)(a + b)=a^2+ab-ba-b^2=a^2-b^2[/tex]

Answer: Explain how the distributive property helps us multiply the following polynomials and why and how the final products differ:(a + b)^2,(a – b)^2,(a - b)(a + - 18… ... High School Mathematics 25+13 pts Explain how the distributive.

Step-by-step explanation:

High School Mathematics 25+13 pts

Explain how the distributive property helps us multiply the following polynomials and why and how the final products differ:

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