How many terms are there in the expansion of ( a^2 b^2 + b^2 a^2 +2 )²¹ where a 0, b 0 ?

Step-by-step solution

aligned & ( a^2 b^2 + b^2 a^2 +2 )²¹= ( a^4+b^4+2 a^2 b^2 a^2 b^2 )²¹ & = ( ( a^2+b^2 a b )^2 )²¹= ( a b + b a )⁴² & Number ofterms =42+1=43 . aligned