Question

Use the Binomial Theorem to expand the binomial.

(x + 2y2)3

A. x3 - 3x2y2 + 3xy4 - y6

B. x3 + 6x2y2 + 12xy4 + 8y6

C. x3 - 6x2y2 + 12xy4 - 8y6

D. x3 + 3x2y2 + 3xy4 + y6

Answer 1

Do you know Pascal's triangle? It makes life easy for binomial theorem.

Answer 2

i don't.

Answer 3

use this formula :
\[\huge (x+y)^3=x^3+3x^2y+3xy^2+y^3\]

Answer 4

So basically you make a pattern like this in a triangle. Continue it another row or two down:

Answer 5

where x=x and y= 2y^2

Answer 6

i think it is b.

Answer 7

That formula won't help you if you have some other power on the test. you're just wasting everyone's time @mayankdevnani

Answer 8

@SPrezzy and @Kainui

Answer 9

@SPrezzy you are correct. The answer is option B)

Answer 10

thank you!

Answer 11

welcome :)