Question

Expand (x+y)^3?

Answer 1

x^3+3a^2b+3ab^2+b^3

Answer 2

Urge to delete rising..

Answer 3

To expand you basically do a lot of distribution

Answer 4

1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
this some of the levels of the pascal triangle
this an easy way to memorize coefficients of (x+y)^n

Answer 5

Memorize schemorize.. Nobody wants to keep this in their brain

Answer 6

Ha no I don't do well with memorization

Answer 7

You don't need to memorize pascal, just add two term from above

Answer 8

\[(x+y)^n=x^n++x^{n-1}y+x^{n-2}y^2+ \cdot \cdot \cdot +x^2y^{n-2}+xy^{n-1}+y^n\]

Answer 9

no seriously it is the most easy thing to memorize

Answer 10

do you not see an easy pattern
all you are doing is adding the two number above to find the one below

Answer 11

\[(x+y)^3\]\[=(x+y)(x+y)(x+y)\]\[=(x^2 + 2xy + y^2)(x+y)\]\[=x^2(x+y) + 2xy(x+y) + y^2(x+y)\]\[=x^3 + x^2y + 2x^2y + 2xy^2 + xy^2 + y^3\]\[=x^3+ 3x^2y + 3xy^2 + y^3\]

Answer 12

You already know from your last problem how to do the first two factors (x+y)(x+y)

Answer 13

Then you take that result and distribute the last factor (x+y) to each term in that result

Answer 14

1
1 2 1
1 (1+2) (2+1) 1
1 1+(1+2) (2+1+1+2) 1+(2+1 1
so on.....................

Answer 15

Then you distribute and combine like terms

Answer 16

Okay I think I get it

Answer 17

Make sure, or figure out what you're shaky on

Answer 18

I worked through it by myself and I understand it for sure. Thanks!