6.3k views
4 votes
Expand (4x-3y)^4 using pascal's triangle ...?

1 Answer

3 votes
Using row 4:

coefficients are: 1, 4, 6, 4, 1

a^4 + a^3b + a^2b^2 + ab^3 + b^4

Now adding the coefficients:

1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + 1b^4

Substitute a and b:

a = 4x

b = -3y


1(4x)^4 + 4(4x)^3(-3y) + 6(4x)^2(-3y)^2 + 4(4x)(-3y)^3 + 1(-3y)^4

Now simplify the above:

256x^4 - 768x^3y + 864x^2y^2 - 432xy^3 + 81y^4
User Wilson Souza
by
7.5k points