If the value of a2+b2 = 41 and ab = 20, find the value of a-b
1
2
0
3
Using the identity (a−b)2 = a2 + b2 - 2ab
Substituting the given values,
(a−b)2 = 41 -40
=1
Hence a-b = 1
If a = 2, b = − 2, find the value of:
(i) a2 + b2 (ii) a2 + ab + b2 (iii) a2 − b2
If a + b = 10 and ab = 16, find the value of a2−ab+b2 and a2+ab+b2.