Binomial Expansion - Honors Edition

The coefficient of n² in the expansion of (n²-3)⁴

• -27

• -12

• 54

• -108

The coefficient of y⁴ in th expansion of (y⁴+3)³

• 27

• 26

• 9

• 25

The coefficient of a³b in the expansion of (4b+3a)⁴

• 108

• 432

• 768

• 81

What is the fourth term in the expansion of (x+3)⁵

• 90x³

• 270x²

• 405x

• 27x²

What is the fifth term in the expansion of (b+3a⁴)⁵

• 270a¹²b²

• 405a¹⁶b

• 15a⁴b⁴

• 81a¹⁶b

What is the 3rd term of the expansion (y-3)³

• -9y²

• 27y

• -27

• 9y

What is the 4th term in the expansion of (x+3)⁵

• 90x³

• 270x²

• 405x

• 27x²

What is the 2nd term in the expansion of (x²+2)⁵

• 40x⁶

• x¹⁰

• 10x⁸

• 80x²

Expand completely

(2y³-x)⁴

• 16y¹²-32y⁹x+40y⁶x²-8y³x³+x⁴

• 16y¹²-56y⁹x+36y⁶x²-8y³x³+x⁴

• 16y¹²-56y⁹x+40y⁶x²-8y³x³+x⁴

• 16y¹²-32y⁹x+24y⁶x²-8y³x³+x⁴

Expand completely

(v-3u)⁵

• v⁵-15v⁴u+90v³u²-270v²u³+405vu⁴-243u⁵

• 6v⁵-45v⁴u+180v³u²-405v²u³+486vu⁴-243u⁵

• v⁵-3v⁴u+9v³u²-27v²u³+81vu⁴-243u⁵

• v⁵-15v⁴u+90v³u²-270v²u³+81vu⁴-243u⁵