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If F(X) = (X − A)2 (X − B)2, Find F(A + B). - Mathematics

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Question

If f(x) = (x − a)2 (x − b)2, find f(a + b).

 

Solution

Given:
f (x) = (x – a)2(x – b)
Thus,
f (a + b) = (a + b – a)2(a + b – b)2
             = b2a2
Hence, f (a + b) = a2b2 .

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Chapter 3: Functions - Exercise 3.2 [Page 11]

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RD Sharma Mathematics [English] Class 11
Chapter 3 Functions
Exercise 3.2 | Q 2 | Page 11

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