Understanding and applying the binomial theorem

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

• 27

• 26

• 9

• 25

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

How many terms are in this expansion?

 $\left(x+52\right)^5$  

• 5

• 6

• 25

• 50

• 3

• 2000x³
• 500x³
• 5000x²
• 800x³

Find the 14th term of (2x-y)¹⁸

• -274,176x⁵y¹³

• 274,176x⁵y¹³

• 64,064x⁵y¹⁴

• -64,064x⁵y¹⁴

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

• 432b³a

• 81b⁴

• 864b²a²

• 435b³a

Expand the Binomial:

 $\left(1+4x\right)^3$  

• 1 + 12x + 12x² + 4x³

• 1 + 12x + 48x² + 64x³

• 1 + 3x + 3x² + x³

• 1 + 4x + 16x² + 64x³