Expand \((x-y)^6\) by the binomial theorem and use the result to evaluate \(\left(19\tfrac{3}{4}\right)^6\) correct to the nearest thousand.

[*Try to do this without touching your calculator!*]

Review question
# Can we use a binomial expansion to evaluate $\left(19\tfrac{3}{4}\right)^6$?

Ref: R7978

Expand \((x-y)^6\) by the binomial theorem and use the result to evaluate \(\left(19\tfrac{3}{4}\right)^6\) correct to the nearest thousand.

[*Try to do this without touching your calculator!*]