Binomial Theorem HW

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)⁴

• 5

• 6

• 4

• 2

• 3

Select the correct expansion of

(1 + x)⁴

• 1 + 4x + 6x² + 4x³ + x⁴

• x + 3x² + 3x³ + x⁴

• 1 + 5x + 10x² + 5x³ + x⁴

• 1 + 2x² + x⁴

Tags

CCSS.HSA.APR.C.5

Find the expansion

• x³ + x²y + xy² + y³

• x³ + 6x²y² + y³

• x³ + 6xy + y³

• x³ + 3x²y + 3xy² + y³

Tags

CCSS.HSA.APR.C.5

Find the expansion

• a⁵ − 5a⁴b + 10a³b² − 10a²b³ + 5ab⁴ − b⁵

• a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵

• a⁵ - 5a⁴b - 10a³b² - 10a²b³ - 5ab⁴ - b⁵

• a⁵ − 5ab + 10ab − 10ab + 5ab − b⁵

Tags

CCSS.HSA.APR.C.5

Choose the right Pascal's triangle

• 
• 
• 
• 

Tags

CCSS.HSA.APR.C.5

Expand  $\left(x+y^3\right)^4$  

•  $x^4+4x^3y^3+6x^2y^6+4xy^9+y^{12}$  

•  $x^4+x^3y^3+x^2y^6+xy^9+y^{12}$  

•  $6x^4+15x^3y^3+20x^2y^6+15xy^9+6y^{12}$  

•  $x^4+4x^3y^3+4x^2y^6+4xy^9+y^{12}$  

Tags

CCSS.HSA.APR.C.5

Expand  $\left(u^2-2\right)^3$  

•  $u^6-6u^4+12u^2-8$  

•  $u^6-16u^4+12u^2-8$  

•  $5u^6-20u^4+40u^2-40$  

•  $u^6-24u^4+12u^2-8$  

Tags

CCSS.HSA.APR.C.5

Find the coefficient of the term containing  $u^2$  in the expansion of  $\left(u-3\right)^5$  

•  $-270$  

•  $90$  

•  $-27$  

•  $405$  

Find the term containing  $y^3$  in the expansion of  $\left(y+2\right)^4$  

•  $12y^3$  

•  $8y^3$  

•  $24y^3$  

•  $32y^3$