Cube Difference 11 And 20

Question 1

What is the formula for the difference of cubes?

Answer 1

The formula for the difference of cubes is a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Question 2

Calculate the difference of cubes for 11 and 12.

Answer 2

The difference of cubes for 11 and 12 is 12^3 - 11^3 = 1728 - 1331 = 397.

Question 3

True or False: The difference of cubes for 13 and 14 is equal to 271.

Answer 3

False. The difference is 14^3 - 13^3 = 2744 - 2197 = 547.

Question 4

Fill in the blank: The difference of cubes of 15 and 16 is ____.

Answer 4

The difference of cubes of 15 and 16 is 256.

Question 5

What is the difference of cubes for 17 and 18?

Answer 5

The difference of cubes for 17 and 18 is 583.

Question 6

Multiple Choice: What is 19^3 - 18^3? A) 685 B) 725 C) 721

Answer 6

A) 685.

Question 7

Calculate 20^3 - 19^3.

Answer 7

20^3 - 19^3 = 8000 - 6859 = 1141.

Question 8

What is the difference of cubes for 11 and 15?

Answer 8

The difference of cubes for 11 and 15 is 1800.

Question 9

True or False: The difference of cubes for the same base number is always zero.

Answer 9

True.

Question 10

Fill in the blank: The difference of cubes for 12 and 16 is ____.

Answer 10

The difference of cubes for 12 and 16 is 1088.

Question 11

What is the difference of cubes for 14 and 15?

Answer 11

The difference of cubes for 14 and 15 is 91.

Question 12

Multiple Choice: What is 11^3 - 10^3? A) 221 B) 131 C) 311

Answer 12

A) 221.

Question 13

Calculate 13^3 - 11^3.

Answer 13

The difference is 2197 - 1331 = 866.

Question 14

What is the difference of cubes for 20 and 11?

Answer 14

The difference of cubes for 20 and 11 is 6829.

Question 15

True or False: The difference of cubes is always a positive number when a > b.

Answer 15

True.

Question 16

Fill in the blank: The difference of cubes for 19 and 17 is ____.

Answer 16

The difference of cubes for 19 and 17 is 1623.

Question 17

What is the difference of cubes for 12 and 13?

Answer 17

The difference of cubes for 12 and 13 is 91.

Question 18

Multiple Choice: What is 15^3 - 14^3? A) 43 B) 29 C) 51

Answer 18

A) 43.

Question 19

Calculate 18^3 - 16^3.

Answer 19

The difference is 583.

Question 20

What is the difference of cubes for 11, 12, and 13?

Answer 20

The differences are 397 (11 and 12) and 91 (12 and 13).

Question 21

True or False: The difference of cubes can be expressed as a product of linear and quadratic factors.

Answer 21

True.

Question 22

Fill in the blank: The difference of cubes for 15 and 20 is ____.

Answer 22

The difference of cubes for 15 and 20 is 2675.

Question 23

What is the difference of cubes for 17 and 19?

Answer 23

The difference of cubes for 17 and 19 is 1179.

Question 24

Multiple Choice: What is 20^3 - 18^3? A) 1141 B) 1341 C) 1241

Answer 24

A) 1141.

Question 25

Calculate the difference of cubes for 16 and 19.

Answer 25

The difference is 6859 - 4096 = 2763.

Question 26

What is the difference of cubes for 11 and 20?

Answer 26

The difference of cubes for 11 and 20 is 6829.