Question

Expand using pascal or rth term

Answer 1

\[(2x^2-\frac{ 1 }{ 3 }y+z)^4\]

Answer 2

@shrutipande9

Answer 3

@phi @paki

Answer 4

your expression is not a binomial (bi meaning 2 as in bicycle (2 wheels) or biannual (2 years) )

Answer 5

so how can we spand this using pascal?

Answer 6

expand*

Answer 7

you could do this.
start with
(a+b+c)^4
and write it as
(a+d)^4 where d is (b+c)
now expand (a+d)^4
\[ a^4 + 4a^3 d + 6a^2d^2 + 4 a d^3 + d^4\]
next we expand the d's
for example
d^4 is (b+c)^4
so
\[ d^4= (b+c)^4= b^4 + 4b^3 c + 6b^2c^2 + 4 b c^3 + c^4\]
do the same for the other power of d's
finally, replace a, b and c witth (2x^2), (-1/3 y), and (z)
expand, collect like terms,

Answer 8

is this pascal?

Answer 9

you use pascal's triangle to find the coefficients 1,4,6,4,1