Question

If a³+ b³ = 9 and a + b =3 then find
1. The value of ab is ??
2. The value of a² + b² is ??
3. The value of (a+b) ² is ??
4. The value of 1/a +1/b is ??


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Answer 1

Answer:

1)2 , 2)5 , 3)9 , 4)1.5

Step-by-step explanation:

$1^{3} = 1*1*1 = 1\\2^{3} = 2*2*2 = 8\\1+8 = 9\\1)a*b = 1*2 = 2\\2)1*1 + 2*2 = 1+4 = 5\\3)(a+b)^{2} = (1+2)^{2} = 3^{2} = 3*3 = 9\\4)1/a + 1/b = 1/1 + 1/2 = 1+1/2 = 1.5$

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