যদি ƒ(x) = x2 হয়, ƒ(a + b) + ƒ(a − b) এর মান কত?
Solution
Correct Answer: Option C
দেয়া আছে, ƒ(x) = x2
⇒ ƒ(a + b) = (a + b)2
আবার, ƒ(a − b) = (a − b)2
এখন দেয়া আছে,
ƒ(a + b) + ƒ(a − b)
= (a + b)2 + (a − b)2
= a2 +2ab + b2 + a2 − 2ab +b2
= 2a2 + 2b2
⇒ ƒ(a + b) = (a + b)2
আবার, ƒ(a − b) = (a − b)2
এখন দেয়া আছে,
ƒ(a + b) + ƒ(a − b)
= (a + b)2 + (a − b)2
= a2 +2ab + b2 + a2 − 2ab +b2
= 2a2 + 2b2
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