Answer:
[tex](x-y)^4=x^4-x^3y+6x^2y^2-4xy^3+y^4[/tex].
Step-by-step explanation:
We want to find the polynomial that will result from expanding:
[tex](x-y)^4[/tex].
Recall that we can use the Pascal's triangle to obtain the coefficient as:
1 4 6 4 1
Also note how the negative sign is going to alternate.
The power of x will decrease from left to right while the power of y increases from left to right
The expansion then becomes:
[tex](x-y)^4=x^4-x^3y+6x^2y^2-4xy^3+y^4[/tex].
