Question

expand this binomial
(x+3)^5

Answer 1

x^5+5(x^4*3)+10(x^3*3^2)+10(x^2*3^3)+5(x*3^4)+3^5
x^5+15x^4+90x^3+270x^2+405x+243

Answer 2

Use the binomial expansion: (x+3)^5= (3^5)*(1+x)^5
Find the binomial expansion of (1+x)^5, then multiply the answer by 3^5

Answer 3

i stilll dont know how

Answer 4

The binomial expansion is given by:
\[(1+x)^p=1+px+\frac{(p)(p-1)x^2}{2!} +\frac{(p)(p-1)(p-2)x^3}{3!}+..+...\]

Answer 5

do you know the pascal triangle ?

Answer 6

Btw, mistake on my above comment ... (x+3)^5= (3^5)*(1+x/3)^5

Answer 7

So use the binomial expansion, and wherever you see 'x', replace that with (x/3)