Factor Perfect Squares

[nycmathguy]

College Algebra
Chapter 1/Section 5

What is the meaning of perfect squares? I can factor this type of problem but forgot the definition of perfect squares.

 

[MathLover1]

correct

Perfect square;

An integer that can be expressed as the square of another integer is called a perfect square. In other words, it is defined as the product of some integer with itself.
Perfect square numbers are not only limited to the numerals but also exist in algebraic identities and polynomials. These can be identified with the help of a factorization technique.

Algebraic identities as perfect squares:

a^2 + 2ab + b^2 = (a + b)^2

a^2 – 2ab + b^2 = (a – b)^2

 

[nycmathguy]

correct

Perfect square;

An integer that can be expressed as the square of another integer is called a perfect square. In other words, it is defined as the product of some integer with itself.
Perfect square numbers are not only limited to the numerals but also exist in algebraic identities and polynomials. These can be identified with the help of a factorization technique.

Algebraic identities as perfect squares:

a^2 + 2ab + b^2 = (a + b)^2

a^2 – 2ab + b^2 = (a – b)^2

Interesting information.