( 2x + 4 )^11
Solution :
( 2x + 4 )^11 = ( 2x ) ^11 ( 4 ) ^0 + ( 2x )^10 ( 4 ) + ( 2x ) ^9 ( 4 )^2 + ( 2x ) ^8 ( 4 ) ^ 3 + ( 2x ) ^ 7 ( 4 ) ^4 + ( 2x ) ^6 ( 4 )^5 + ( 2x )^5 ( 4 )^6 + ( 2x )^4 ( 4 )^7 + ( 2x )^3 ( 4 )^8 + ( 2x )^2 ( 4 )^9 + ( 2x ) ( 4 )^10 + ( 2x )^0 ( 4 )^11
= 2048x^11 + 4096x^10 + 8192x^9 + 16384x^8 + 32768x^7 + 65536x^6 + 131072x^5 + 262144x^4 + 524288x^3 + 1048576x^2 + 2097152x + 4194304
Thus, the expansion would be = 2048x^11 + 4096x^10 + 8192x^9 + 16384x^8 + 32768x^7 + 65536x^6 + 131072x^5 + 262144x^4 + 524288x^3 + 1048576x^2 + 2097152x + 4194304.