Posted by **Aliah** on Wednesday, January 18, 2012 at 7:27pm.

find the coefficient of x^5 in the expansion (x+2)(x+1)^8

- MATH -
**Damon**, Wednesday, January 18, 2012 at 7:57pm
x* (x+1)^8

+

2(x+1)^8

so

find coef of x^4 in (x+1)^8

find 2*coef of x^5 in (x+1)^*

add them

- MATH -
**Damon**, Wednesday, January 18, 2012 at 8:03pm
from binomial coefficient table

(x+1)^8 = x^8 ..... 56x^5+70x^4....+1

so 70 + 2(56) = 182

- MATH -
**Aliah**, Wednesday, January 18, 2012 at 8:33pm
182 is the final answer? Thank you for your help.

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