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Expansion of (a ± b ± c)²

If a3 + b2 ...

Question

If $a^{3} + b^{2} = 31$ and $a b = - 6$ , then what is the value of $a + b$ ?

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Solution

The correct option is A $5$

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Similar questions

a + b = 5

a b = 6

a^{3} + b^{3}

a = \frac{\sqrt{5} + 1}{\sqrt{5} - 1}

b = \frac{\sqrt{5} - 1}{\sqrt{5} + 1}

\frac{a^{2} + a b + b^{2}}{a^{2} - a b + b^{2}}

\frac{a^{3} + b^{3} + c^{3} - 3 a b c}{a b + b c + c a - a^{2} - b^{2} - c^{2}}

a = - 5, b = - 6, c = 10

a - b + c = 5

c a - a b - b c = 7,

a^{2} + b^{2} + c^{2}

What is $(a^{3} - b^{3})$ if $a b = 6$ and $(a + b) = 5$ and $a > b$ ?

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