Question

a+b=8 ab=15 find a³+b³​

Answer 1

Answer:

a^3+b^3= (a+b)^3-3ab(a+b)

=512 -3(15)8

=512 -360

=152

Answer 2

Step-by-step explanation:

$\sf a + b = 8 \: and \: ab = 15 \\ \\ \sf {a}^{3} + {b}^{3} = { ( a + b )}^{3} - 3ab( a - b ) \\ \\ \sf {a}^{3} + {b}^{3} = {8}^{3} - 3 × 15 × 8 \\ \\ \sf {a}^{3} + {b}^{3} = 512 - 360 \\ \\ \sf {a}^{3} + {b}^{3} = 152$

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