Math, asked by rojasminsahoo0, 6 hours ago

a^3 + b^3 + c^3 = ______

Step by step explanations.

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Answers

Answered by malikusman2678
2

(a+b+c)[a2+b2+c2−ab−bc−ca]+3abc

Answered by kangna202126
2

Answer:

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Step-by-step explanation:

First method

a3+b3=a3+ab2−a2b+b3+a2b−ab2=a(a2+b2−ab)+b(a2+b2−ab)=(a+b)(a2+b2−ab)

To find a3−b3 , replace b with − b

a3−b3=(a−b)(a2+b2+ab)

Second method

(a+b)3=(a+b)2(a+b)=(a2+2ab+b2)(a+b)=a3+3a2b+3ab2+b3=a3+b3+3ab(a+b)

a3+b3=(a+b)3−3ab(a+b)=(a+b)(a2+b2−ab)

For a3−b3 , replace b with −b

a3−b3=(a−b)3+3ab(a−b)=(a−b)(a2+b2+ab)

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