Special Products

Fill in the Blanks

The square of the binomial a + b is

+ 2ab + b^2.

Multiple Select

Which of the following are steps in getting the square of a binomial?

• Square the first term

• Get twice the product of the two terms

• Square the second term

• Multiply the terms together

Multiple Choice

What is the expanded form of (3a + 2b)^2?

• 9a^2 + 12ab + 4b^2

• 6a^2 + 4ab + 4b^2

• 9a^2 + 6ab + 4b^2

• 3a^2 + 12ab + 2b^2

Multiple Choice

What is the result when you multiply (a + b) and (a - b)?

• a^2 + b^2

• a^2 - b^2

• 2ab

• a^2b^2

Multiple Select

Which of the following are steps in getting the product of a sum and difference of two terms?

• Square the first term

• Square the second term

• Multiply the terms together

• The operation in between is always subtraction

Multiple Choice

What is the expanded form of (x - 2y)(x + 2y)?

• x^2 + 4y^2

• x^2 - 4y^2

• x^2 + 2y^2

• x^2 - 2y^2

Fill in the Blanks

The operation in between is always

when finding the product of the sum and difference of two terms.

Multiple Choice

Which of the following is NOT a step in getting the square of a trinomial?

• Square the 1st term

• Get twice the product of the 2nd and 3rd terms

• Add the cubes of each term

• Square the 2nd term

Multiple Choice

What is the result when you simplify (x + 2y + 3z)^2?

• x^2 + 4y^2 + 9z^2 + 4xy + 6xz + 12yz

• x^2 + 2y^2 + 3z^2 + 2xy + 2xz + 2yz

• x^2 + 2y^2 + 3z^2 + 4xy + 6xz + 12yz

• x^2 + 4y^2 + 9z^2 + 2xy + 2xz + 2yz

Multiple Select

Which of the following are correct terms in the expansion of (2a - 4b + 3c)^2?

• 4a^2

• -16ab

• 9c^2

• -8ab

Open Ended

What would be the first three terms when expanding (d^2 - 3e - 4)^2 using the steps for squaring a trinomial?

Multiple Choice

Which of the following is NOT a step in cubing a binomial according to the formula for (a + b)^3?

• Get the cube of the 1st term

• Three times the 2nd term and square of the 1st term

• Three times the 1st term and square of the 2nd term

• Get twice the product of the 1st and 2nd terms