Question -
Answer -
Firstly, let us solvethe given expression:
(a + b) 4 –(a – b) 4
The above expressioncan be expressed as,
(a + b) 4 –(a – b) 4 = 2 [4C1 a3b1 + 4C3 a1b3]
= 2 [4a3b +4ab3]
= 8 (a3b +ab3)
Now,
Let us evaluate theexpression:
(√3 + √2)4 –(√3 -√2)4
So consider, a = √3and b = √2 we get,
(√3 + √2)4 –(√3 -√2)4 = 8 (a3b + ab3)
= 8 [(√3)3 (√2)+ (√3) (√2)3]
= 8 [(3√6) + (2√6)]
= 8 (5√6)
= 40√6