Question

If a+b =-1, then the volume of a^3 + b^3 -3ab is
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Answer 1

$\bull \: \: \: \large\underline{ \rm {\bold{Given :}}}$

$\mapsto \sf(a + b) = - 1$

$\bull \: \: \: \large\underline{ \rm {\bold{ Formula \: \: Required :}}}$

$\sf \mapsto \: {(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab(a + b)$

$\bull \: \: \: \large\underline{ \rm {\bold{ Solution \: :}}}$

$\sf \:\:\:\:\:\:\:\:\:\:\:\:\: a + b = - 1$

$\implies \sf \: {(a + b)}^{3} = { - 1}^{3}$

$\sf \implies \: {a}^{3} + {b}^{3} + 3ab(a + b) \: = - 1$

$\sf \implies \: {\underline{ \boxed{ \sf{a}^{3} + {b}^{3} - 3ab \: = - 1}}}$

$\bull \: \: \: \large\underline{ \rm {\bold{ Learn \: \: more :}}}$

1) (a-b)³=a³-b³-3ab(a-b)

2) a³+b³=(a+b)(a²-ab+b²)

3)a³-b³=(a-b)(a²+ab+b²)

4)a³+b³=(a+b)³-3ab(a+b)

5)a³-b³=(a-b)³+3ab(a-b)

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Answer 2

Step-by-step explanation:

Nhi sibasish .... woh wala j rod nhi mae alien wale j rod ki batt kar rahi thi but it's ok...... and tum ace bangaye na congratulations.....