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Pls explain this to me, I don't understand why the answer is a^3 +b^3 and not a^3-b^3

Pls Explain This To Me I Dont Understand Why The Answer Is A3 B3 And Not A3b3 class=

Sagot :

semsee45

Answer:

[tex](a+b)(a^2-ab+b^2)=a^3+b^3[/tex]

Step-by-step explanation:

Given expression:

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

Using the Distributive Property Law, expand the brackets:

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

[tex]\implies a^3-a^2b+ab^2+a^2b-ab^2+b^3[/tex]

Group like terms:

[tex]\implies a^3+b^3-a^2b+a^2b+ab^2-ab^2[/tex]

As  -a²b+a²b=0  and  ab²-ab²=0  then:

[tex]\implies a^3+b^3[/tex]

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