Question

(x+3) (x+3)^3 simplify

Answer 1

(a+b)^3 = a^3 + b^3 + 3ab(a+b)

Answer 2

see there are two ways......
either expand the cube and multiply/....
or use binomial expansion (x+3)^4.

Answer 3

\[\large{(x+3)(x+3)^3}\]
\[\large{(a+b)^3=a^3+b^3+3ab(a+b)->identity}\]

Answer 4

@cdelomas have u learnt binomial theorem?

Answer 5

no

Answer 6

binomial theorem or pascals triangle will work

Answer 7

what is that

Answer 8

http://www.mathsisfun.com/pascals-triangle.html

Answer 9

i will check it out and comeback

Answer 10

forget binomial theorem :

\[\large{(x+3)(x+3)^3=(x+3){(x+3)(x+3)(x+3)}}\]
\[\large{(x+3)^2(x+3)^2}\]

\[\large{(x+3)^2=x^2+3^2+2(x)(3)}\]
\[\large{x^2+9+6x}\]
\[\large{(x^2+9+6x)(x^2+9+6x)}\]
\[\large{x^4+9x^2+6x^3+9x^2+81+54x+6x^3+54x+36x^2}\]
\[\large{x^4+12x^3+54x^2+108x+81}\]

Answer 11

got it ?