Binomial Expansion

Select the correct expansion of

(1 - x)⁵

• 1 − 5x + 10x² − 10x³ + 5x⁴ − x⁵

• 1 + 5x + 10x² + 10x³ + 5x⁴ + x⁵

• -1 + 5x - 10x² + 10x³ - 5x⁴ + x⁵

• 1 − 5x + 10x² + 10x³ + 5x⁴ − x⁵

Tags

CCSS.HSA.APR.C.5

Select the correct expansion of

(1 + 4x)³

• 1 + 12x + 12x² + 4x³

• 1 + 12x + 48x² + 64x³

• 1 + 3x + 3x² + x³

• 1 + 4x + 16x² + 64x³

Tags

CCSS.HSA.APR.C.5

Find the fourth term of the expansion (5+3y)⁵.

• 2025y⁴
• 750y³
• 75y⁴
• 6750y³

Tags

CCSS.HSA.APR.C.5

What is the Binomial expansion of (x + 1)⁵ ?

• x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

• x⁵ + 5x⁴ + 15x³ + 15x² + 5x + 1

• x⁵ + 6x⁴ + 15x³ + 15x² + 6x + 1

• x⁵ + 1

Tags

CCSS.HSA.APR.C.5

Expand the expression.
(2x+5)⁴

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

Tags

CCSS.HSA.APR.C.5

Find the 4th term in the expansion of (4x-3)⁵.

• 5760
• -4320x²
• 5760x³
• -4320

Tags

CCSS.HSA.APR.C.5

Which row of Pascal's Triangle would you use to expand (x+y)³?

• 1
• 1  1
• 1  2  1
• 1  3  3  1

Tags

CCSS.HSA.APR.C.5

What is the third term in the expansion of (x + 4)⁵?

• 640 x²
• 160 x³
• 4 x⁵
• 64 x³

Tags

CCSS.HSA.APR.C.5

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

• 5

• 6

• 25

• 50

• 3

Tags

CCSS.HSA.APR.C.5

Find the 2nd term in the expansion of 
(2b + 1)³

• 12b²
• 6b
• 8b³
• 4b²

Tags

CCSS.HSA.APR.C.5