Binomial Expansion and General Term

Expand the expression using the Binomial Theorem.
(2x+5)⁴

• 2x⁴ + 40x³ + 300x² + 1000x +625
• 16x⁴ + 160x³ +600x² +1000x + 625
• 16x⁴ + 1000x³ + 600x² + 160x +625

Expand the expression in increasing powers of x, up to the term in x³.
(3+2x)⁵

​

i

h

g

f

e

c

b

a

243

How many terms are the in the expansion of (1+b)⁵

• 5

• 6

• 25

• 50

• 3

• 32768
• 8
• -10240
• 10240x
• 1280
• -80
• 163840
• 2.5
• 80
• -2.5

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• 

Find the coefficient of the x⁵ term in (5x+1)¹¹.