CBSE Class 9 Answered
If a +
b = 8 and a2 + b2 = 40 find the value of a3
+ b3=.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
a + b= 8
Now, a2 + b2 = (a + b)2 - 2ab
40 = 82 - 2ab
2ab
= 64 - 40 = 24
ab = 12
Therefore, a3 + b3 = (a + b)3 - 3ab (a + b)
= 83 - 3 x 12 x 8
= 512 - 288 = 224
Answered by | 04 Jun, 2014, 03:23: PM
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