The Binomial Theorem

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

Tags

CCSS.HSA.APR.C.5

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

Tags

CCSS.HSA.APR.C.5

What is row 7 of Pascal's Triangle?

• 1, 5, 10, 5, 1
• 1, 5, 10, 10, 5, 1
• 1, 7, 21, 35, 35, 21, 7, 1
• 1, 7, 21, 35, 21, 7, 1

Tags

CCSS.HSA.APR.C.5

Expand

• A
• B
• C
• D

Tags

CCSS.HSA.APR.C.5

Expand: $\left(a+b\right)^2$   

•  $a^2+ab+b^2$  

•  $a^2+2ab+b^2$  

•  $a^2-ab+b^2$  

•  $a^2-2ab+b^2$  

Tags

CCSS.HSA.APR.C.5

Choose the right Pascal's triangle

• 
• 
• 
• 

Tags

CCSS.HSA.APR.C.5

Expand: $\left(a-b\right)^5$  

•  $a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5$  

•  $a^5-5a^4b+10a^3b^2-10a^2b^3+5ab^4-b^5$  

•  $a^5-5a^4b+10a^2b^3-10a^3b^2+5ab^4-b^5$  

•  $a^5-5a^4b-10a^3b^2-10a^2b^3-5ab^4-b^5$  

Tags

CCSS.HSA.APR.C.5

Use the binomial theorem to expand  $\left(4-2z\right)^3$  

•  $64-96z+48z^2+8z^3$  

•  $64-96z+48z^2-8z^3$  

•  $64+96z+48z^2+8z^3$  

•  $64-64z+144z^2-8z^3$  

Tags

CCSS.HSA.APR.C.5

Find the product:
(y - 3)(y + 7)

• y² - 21
• y² + 10x - 21
• y² + 4y - 21
• 2y - 10

Tags

CCSS.HSA.APR.A.1

Find the product:

(3x² – 1)(3x² + 5x+4)

• 6x² + 4x + 5

• 9x⁴ + 15x³ - 4x

• 6x² + 15x³ - 20x² - 5x + 4

• 9x⁴ + 15x³ - 9x² - 5x - 4

Tags

CCSS.HSA.APR.A.1