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

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

Choose the right Pascal's triangle

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• 
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Expand: $\left(a-b\right)^5$  

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

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

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

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

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

•  $64-96z+48z^2+8z^3$  

•  $64-96z+48z^2-8z^3$  

•  $64+96z+48z^2+8z^3$  

•  $64-64z+144z^2-8z^3$  

Expand
(b - 2)³

• b³ - 2b² + 4b - 8
• 5b³ - 20b² + 40b - 40
• b³ - 6b² + 12b - 8
• 4b³ - 12b² + 16b - 8

What would be the 5th term of the expansion of (n+4)⁴?

• 257

• 256

• n⁴

• 259

What would be the 2nd term of the expansion of (y+4)⁴?

• 253y

• 16y³

• 64y

• 96y²

Find the element in Pascal's Triangle. 8th row and 6 element.

• 56

• 28

• 7

• 0

Find the coefficient of the x³ term in (x-3)¹⁰

• 3240x³
• 3240
• 262440x³
• 262440