11.4 Binomial Theorem

Expand (a+b)⁶ using the Binomial Theorem.

• a⁶ + 6a⁵b + 20a⁴b² + 15a³b³ + 20a²b⁴ + 6ab⁵ + b⁶

• a⁶ + 6a⁵b + 15a⁴b² + 20a³b³ + 15a²b⁴ + 6ab⁵ + b⁶

• a⁶ + 3a⁵b + 15a⁴b² + 21a³b³ + 15a²b⁴ + 3ab⁵ + b⁶

• a⁶ + 3a⁵b + 12a⁴b² + 20a³b³ + 12a²b⁴ + 3ab⁵ + b⁶

If the third term of (2x + 4)⁵ is Bx³, what is the value of B?

If the fifth term of (w - 4z)⁷ is Bw³z⁴, what is the value of B?

What is the 7th term of the expansion (9h + 3j)⁶ ?

• 729j⁶

• 729j⁷

• 531441h⁶

• 531441h⁷

• 13122hj⁵

One of the terms of the binomial

(Ax + y)ⁿ is 13440x⁶y⁴.

What is the value of A?

• 2

• 4

• 8

• 10

• 12

One of the terms of the binomial

(Ax + y)ⁿ is 13440x⁶y⁴.

What is the value of n?

• 2

• 4

• 8

• 10

• 12

One of the terms of the binomial

(Bp + q)^m is 312741p⁵q⁸.

What is the value of m?

One of the terms of the binomial

(Bp + q)^m is 312741p⁵q⁸.

What is the value of B?

If you expand the binomial (u + t)¹⁸,

what coefficient is in front of the u⁹t⁹ term?

What is the 30th term of the expansion (5r + s)³²?

• 4230r³s²⁹

• 620000r³s²⁹

• 4230r²s³⁰

• 620000r²s³⁰

• none of these