If a2+b2 = 284 and ab = 58, find the value of (a+b).
20
400
-400
-10
40
a2+b2 = 284
⟹ a2+b2+2ab = 284 + 2 ×58
⟹ a+b =√400 = 20
If a + b = 10 and ab = 16, find the value of a2−ab+b2 and a2+ab+b2.
If a+b+c=10 and a2+b2=58,find the value of a3+b3
If a = 2, b = − 2, find the value of:
(i) a2 + b2 (ii) a2 + ab + b2 (iii) a2 − b2