The Binomial Theorem

What is the third term of the expansion (a - b)^6?

• 15a^5b

• 15a^3b^3

• 15a^2b^4

• 15a^4b^2

Find the coefficient of x⁴ in the expansion of (1 - x)¹⁴

• 1001

• -1001

• 364

• -364

Expand the binomial (2x+3)⁴

• 16x⁴+81

• x⁴+4x³+6x²+4x+1

• 16x⁴+96x³+216x²+216x+81

• 16x⁴+186x³+398x²+312x+81

Expand

• A

• B

• C

• D

Find the 14th term of (2x-y)¹⁸

• -274,176x⁵y¹³

• 274,176x⁵y¹³

• 64,064x⁵y¹⁴

• -64,064x⁵y¹⁴

Expand the Binomial:
\left(1+4x\right)^3

• 1 + 12x + 12x² + 4x³

• 1 + 12x + 48x² + 64x³

• 1 + 3x + 3x² + x³

• 1 + 4x + 16x² + 64x³

What is the Binomial Theorem used for? (2 answers)

• Expanding expressions like (a+b)(c+d)

• Expanding expressions like (a+b)^2

• Finding roots of high-powered expressions

• Finding the probability of x successes in n number of trials

How many terms are in this expansion?

• 5

• 6

• 25

• 50

• 3

• 2000x³

• 500x³

• 5000x²

• 800x³

Find the 2nd term in expansion of (3b + 4a)⁴. A.APR.5

• 432b³a

• 81b⁴

• 864b²a²

• 435b³a