5. Polynomials

Special Products — Quiz

Test your understanding of special products with 5 practice questions.

Practice Questions

Question 1

If the volume of a cube is given by the expression $(x^3 + 6x^2y + 12xy^2 + 8y^3)$ cubic units, what is the length of one side of the cube?

Question 2

Given that $ (a + b)^2 = 81 $ and $ ab = 18 $, what is the value of $ a^2 + b^2 $?

Question 3

Which of the following expressions is equivalent to $(x^4 - 16)$?

Question 4

Expand the expression $(x^2 - 3y)^2$.

Question 5

If $ (x + y)^2 = 64 $ and $ xy = 12 $, what is the value of $ x^2 + y^2 $?