Question

if a-b=6 and ab =20 ,find the value of a3-b3​

Answer 1

Answer:

I hope it would help you

Answer 2

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As

$a - b = 6 \: \: and \: \: ab = 20 \\ so \\ (a - b) {}^{2} = {a}^{2} + b {}^{2} \: - 2ab \\ (6) {}^{2} = {a}^{2} + {b}^{2} - 2(20) \\ 36 = {a}^{2} + {b}^{2} - 40 \\ {a}^{2} + b {}^{2} = 76 \\ \\ so \\ \\ {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + {b}^{2} + ab) \\ = > (6)(76 + 20) \\ = > (6)(96) \\ = > 576$

So the answer is 576.

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