Special Products Quiz

What is the first step in using the FOIL method to square the binomial (7z + 2)?

• Multiply the outer terms

• Multiply the first terms

• Multiply the inner terms

• Multiply the last terms

When applying the square of a sum rule to (7z + 2)^2, what is the middle term in the expanded form?

• 7z^2

• 2 * 7z

• 2 * 7z * 2

• 7z * 2

Which rule can be used as a shortcut to avoid using the FOIL method for (a + b)^2?

• Square of a sum

• Square of a difference

• Product of a sum and a difference

• Difference of squares

In the square of a difference rule, what is the expression for (3c - 4)^2?

• 9c^2 + 24c + 16

• 9c^2 + 24c - 16

• 9c^2 - 24c + 16

• 9c^2 - 24c - 16

What is the simplified form of (3c - 4)^2 using the square of a difference rule?

• 9c^2 + 24c + 16

• 9c^2 - 24c + 16

• 9c^2 + 24c - 16

• 9c^2 - 24c - 16

How do you find the area of a square with side length (3x + 12)?

• Square the expression (3x + 12)

• Square 3x and add 12

• Multiply 3x by 12 and add 12

• Multiply 3x by 12

What is the expanded form of (3x + 12)^2 using the square of a sum rule?

• 9x^2 + 72x + 144

• 9x^2 + 36x + 144

• 9x^2 + 72x + 12

• 9x^2 + 36x + 12

What happens to the middle terms when multiplying (9d + 4)(9d - 4)?

• They remain unchanged

• They add up to a positive number

• They cancel each other out

• They multiply to a negative number

What is the result of (9d + 4)(9d - 4) using the product of a sum and a difference rule?

• 81d^2 - 16

• 81d^2 + 16

• 81d^2 - 36d

• 81d^2 + 36d

What is the final result of applying the product of a sum and a difference rule to (9d + 4)(9d - 4)?

• 81d^2 + 16

• 81d^2 - 16

• 81d^2 + 36d

• 81d^2 - 36d