Powers of Binomials

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

Select the correct expansion of

(1 - 2y)³

• 1 + 6y + 12y² + 8y³

• 1 − 6y + 12y² − 8y³

• 1 − 3y + 3y² − y³

• 1 + 3y + 3y² + y³

Tags

CCSS.HSA.APR.C.5

Expand (x -1)⁴

• x⁴ + 4x³ - 6x² + 4x - 1
• x⁴ + 4x³ + 6x² + 4x + 1
• x⁴ - 4x³ + 6x² - 4x + 4
• x⁴ - 4x³ + 6x² - 4x + 1

Tags

CCSS.HSA.APR.C.5

Which of the following is the coefficient for the xy³ term of the expansion (3x-2y)⁴?

• 4

• -24

• -96

• 216

Tags

CCSS.HSA.APR.C.5

Expand the expression.
(3x-4)³

• 27x³ - 108x² + 144x - 64

• 27x³ - 36x² + 48x - 64

• 9x³ - 36x² + 48x - 64

Tags

CCSS.HSA.APR.C.5

Select the correct expansion of

(2 + y)⁴

• 16 + 32y + 24y² + 8y³ + y⁴

• 16 + 8y + 24y² + 32y³ + y⁴

• 16 + 32y + 24y² + 8y³ + y⁴

• 16 + 8y + 24y² + 32y³ + y⁴

Tags

CCSS.HSA.APR.C.5

Expand (x + 2)³

• x³ + 6x² + 12x + 8

• x³ + 3x² + 6x + 8

• x³ + 6x² + 12x + 8

• x³ + 3x² + 6x + 8

Tags

CCSS.HSA.APR.C.5

• A

• B

• C

• D

Tags

CCSS.HSA.APR.A.1

(3a + 4)²

• 9a²+12a+16
• 9a²+24a+16
• 9a²+12a+8
• 9a²+24a+8

Tags

CCSS.HSA.APR.C.4

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