college algebra word problem

Question

Use Pascal's Triangle to expand: (x − 5y)^⁵.

Answer 1

1

11 coefficients

121 for binomial

1331 for 3D

14641 for 4th degree polynomial

15101051 for 5D

x^5 + 5(x^4)(-5y) + 10(x^3)(-5y)^2 + 10(x^2)(-5y)^3 + 5x(-5y)^4 + (-5y)^5 =

x^5 -25x^4y +250x^3y^2 -1250x^2y^3 +3125xy^4 - 3125y^5