Write the first three terms in the binomial expansion, expressing the result in simplified form. (x-3)^9

Use the Binomial Theorem to expand the binomial and express the result in simplified form. ((x^2)-1)^4

Use the Binomial Theorem to expand the binomial and express the result in simplified form. (2x+1)^3

Find the term indicated in the expansion. (2x-3)^6; fifth term

Find the term in the expansion of (x² + y²)⁵ containing x⁴ as a factor.

Evaluate n!/(n-r)! for n = 20 and r = 3

Evaluate n!/(n-r)!r! for n = 8 and r = 3

Find the term indicated in each expansion. (x² + y)²²; the term containing y¹⁴