Question

. If a + b =5, ab=6 find aᶟ+bᶟ.

Answer 1

Step-by-step explanation:

(a+b)3=a3+b3+3ab(a+b)

(5)3=a3+b3+3×6[5]

125=a3+b3+90

a3+b3 = 35

Answer 2

$= given \: a + b = 5 \: and \: ab = 6 \\ = ( {a + b}^{3}) = {a}^{3} + {b}^{3} + 3ab(a + b) \\ = ({5})^{3} = {a}^{3} + {b}^{3} + 3 \times 6[5] \\ = 125 = {a}^{3} + {b}^{3} + 90 \\ = {a}^{3} + {b}^{3} = 125 - 90 \\ = {a}^{3} + {b}^{3} = 35.$

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