Question

Hello Mates,♥️
The ans is 576 but please give me the step by step solution....​

Answer 1

Step-by-step explanation:

Hey friend

Here's your answer.....

(1+3x+2x^2)^6

= (1+x(3+2x))^6

we know that,

(1+x)^n = 1+ nC1x + nC2x^2 ..........nCnx^n

so applying same formula,

(1+x(3+2x))^6

= 1+6C1 x (3+2x)+6C2x^2 (3+2x)^2...............+ 6C6 x^6 (3+2x)^6

We want x^11 so we combine x^5 and x^6 so that we get result as x^11

6C6 × x^6 ×6C5 × 3 × (2x)^5

1× 6 ×3 × 1 × 2^5 × x^11

18 ×32 x^11

576 ( x^11)

Hope it helps you buddy