Question

Find and simplify the 4th term: (2x^2-3y^2)^6

Answer 1

actually, it is 6C3 (2x^2)^(6-3) * (-3y^2)3
then simplify .....

Answer 2

do u know about combination ?

Answer 3

i do, it relates to using the pascal triangle too right?

Answer 4

yes, that will works too

Answer 5

but in the way youre showing me: 6C3 (2x^2)^(6-3) * (-3y^2)3 looks way easier.
all i would need to do is simplify (2x^2)^(6-3) * (-3y^2)3 , and thatd be my answer?

Answer 6

yup,
first, calculate for 6C3
use the formula nCr = n!/(r!(n-r)!)
in this case known that n = 6 and r = 3

Answer 7

u know the factorial, isnt it ?