Question

$(a - b) {}^{3} - (a {}^{3} - b { }^{3)}$
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Answer 1

Answer:

$\huge\bold\red{ANSWER}$

Step-by-step explanation:

$\large{\underline{\rm{\red{SOLUTION :}}}}$

$\implies\sf\blue{Here\: (a-b)^3=a^3-b^3-3ab(a-b)}\\\\\\ \implies\sf\blue{Here\:(a^3-b^3)=(a-b)^3+3ab(a-b)}\\\\\\ \implies\sf\blue{put\:both\:the\:formulaes\:in\:the\:equation}\\\\ \implies\sf\blue{a^3-b^3-3ab(a-b)-((a-b)^3+3ab(a-b))}\\\\\\ \implies\sf\blue{a^3-b^3-3a^2b+3ab^2-(a^3-b^3-3a^2b+3ab^2+3a^2b-3ab^2)}$

$\implies\sf\blue{a^3-b^3-3a^2b+3ab^2-a^3+b^3+3a^2b-3ab^2-3a^2b+3ab^2}\\\\\\\implies\sf\blue{3ab^2-3a^2b}\\\\\implies\sf\blue{3ab(b-a)\:is\:answer}$