Special Products of Binomials Flashcards
(16 cards)
What is the formula for the square of a binomial (a + b)^2?
a^2 + 2ab + b^2
What is the formula for the square of a binomial (a - b)^2?
a^2 - 2ab + b^2
What is the product of the sum and difference of the same two terms (a + b)(a - b)?
a^2 - b^2
True or False: The expression (x + 3)^2 equals x^2 + 6x + 9.
True
Fill in the blank: The special product of (a + b)(a + c) results in ______.
a^2 + ac + ab + bc
What is the result of (2x + 5)^2?
4x^2 + 20x + 25
True or False: The expression (x - 4)(x + 4) simplifies to x^2 - 16.
True
What is the expanded form of (3y - 2)^2?
9y^2 - 12y + 4
What type of binomial product does (a + b)(a - b) represent?
Difference of squares
Fill in the blank: The formula for the difference of squares is ______.
(a + b)(a - b) = a^2 - b^2
What is the expanded form of (x + 7)(x - 3)?
x^2 + 4x - 21
True or False: The formula for (x + y)^2 can be derived from (x + y)(x + y).
True
What is the result of (5 + 2x)(5 - 2x)?
25 - 4x^2
What is the formula for (a + b)^3?
a^3 + 3a^2b + 3ab^2 + b^3
What is the result of (x + 1)^2 + (x - 1)^2?
2x^2 + 2
What is the special product of the form (x+a)(x-a)?
