Question

if acube+bcube=343anda+b=7find the value ofasquare-ab+bsquare​

Answer 1

Answer:

${a}^{3} + {b}^{3} = 343 \\ a + b = 7 \\ {a}^{2} - ab + {b}^{2} = ? \: let \: find \\ we \: know \: the \: formula \\ {a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} ) \\ then \: \\ ( {a}^{2} - ab + {b}^{2} ) = \frac{ {a}^{3} + {b}^{3} }{a + b} \\ = \frac{343}{7} \\ = 49$