Question

Which of the following are properties of a perfect square trinomial? Select all that apply.. A.Neither of the perfect squares can have a minus sign. B.The first and third terms must be perfect squares.. C.If the perfect square terms are A2 and B2 then the other term must be (AB)2. D.None of the above is a property of a perfect square trinomial..

Answer 1

A.Neither of the perfect squares can have a minus sign.
B.The first and third terms must be perfect squares.
C.If the perfect square terms are A2 and B2 then the other term must be (AB)2.

Answer 2

Definition 1: Perfect squares are numbers or expressions that are the product of a number or expression multiplied to itself (7 times 7 is 49, so 49 is a perfect square).

Definition 2: Binomials are algrebraic expressions containing only two terms.

Definition 3: Trinomials are algebraic expressions that contain three terms.

Perfect square trinomials are algebraic expressions with three terms that are created by multiplying a binomial to itself. There are two formulas for perfect square trinomials:
$(a+b)^2=a^2+2ab+b^2, \\ (a-b)^2=a^2-2ab+b^2$.
From these formulas you can see that:
A. "Neither of the perfect squares can have a minus sign" is true statement;

B. "The first and third terms must be perfect squares" is true statement;

C. "If the perfect square terms are $a^2$ and $b^2$ then the other term must be $(ab)^2$" is false statement;

D. "None of the above is a property of a perfect square trinomial" is consequently false statement.