Binomial Theorem Review

Coefficients of expansions of the 2nd power

1,2,1

Coefficients of expansions of the 3rd power

1,3,3,1

Coefficients of expansions of the 4th power

1,4,6,4,1

Coefficients of expansions of the 5th power

1,5,10,10,5,1

Coefficients of expansions of the 6th power

1,6,15,20,15,6,1

Number of Terms in Expansion (a+b)^27

28

Number of Terms in Expansion of (a+b)^35

36

(3x-1)⁴.

81x⁴-108x³+54x²-12x+1

(2x+1)³.

8x³+12x²+6x+1

(2x+y)³.

8x³+12x²y+6xy+y³

(2x-5)³.

8x³-60x²+150x-125

Number of Terms in Expansion of (a+b)^8

9

What is the binomial expansion of (2x - 3)^5?

a: (2x)^5 - 15(2x)^4 + 90(2x)^3 - 270(2x)^2 + 405(2x) - 243

What expression represents the fourth term in the binomial expansion of (e + 2f)^10?

a: 10C3(e^7)(2f)^3

(a+b)^3

a^3 + 3a^2b + 3ab^2 + b^3

(a+b)^4

a^4 + 4ab^3 + 6a^2b^2 + 4a^3b +b^4

(a+b)^5

a^5 + 5a^4b +10a^3b^2 + 10a^2b^3 + 5ab^4 + b^5

What are the coefficients for the binomial expansion of (p + q)^6?

b: 1, 6, 15, 20, 15, 6, 1

What is the coefficient of the third term in the binomial expansion of (a + b)^6?

b: 15

How many terms are in the binomial expansion of (3x + 5)^9?

c: 10

How many terms are in the binomial expansion of (2x + 3)^5? 4 5 6 7

c: 6

What is the binomial expansion of (x + 2^)4?

c: x^4 + 8x^3 + 24x^2 + 32x + 16

What is the coefficient of the x^4-term in the binomial expansion of (x + 3)^12?

d: 12C8(3)8

(x-7)⁴.

x⁴-28x³+294x²-1372x+2401

(x+3)⁵.

x⁵+15x⁴+90x³+270x²+405x+243

(x-2)⁵.

x⁵-10x⁴+40x³-80x²+80x-32

(x+4)⁶.

x⁶+24x⁵+240x⁴+1280x³+3840x²+6144x+4096

Fourth Term Coefficient in Expansion of (a+b)^6

20