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It is a trinomial of the form x2 + 2xy + y2 where x and y are integers because:
- it is the square of (x + y) and
- it is a trinomial.
What else can I help you with?
Which expressions are perfect square trinomials?
Expressions of the form a2x2 + 2abx + b2 = (ax + b)2
What is trinomial perfect?
A trinomial is considered perfect if it can be expressed as the square of a binomial. For example, the trinomial (x^2 + 6x + 9) is a perfect square because it can be factored into ((x + 3)^2). Perfect trinomials typically take the form (a^2 + 2ab + b^2) or (a^2 - 2ab + b^2).
How do you describe a perfect square trinomial?
A perfect square trinomial is a quadratic expression that can be expressed as the square of a binomial. It takes the form (a^2 + 2ab + b^2) or (a^2 - 2ab + b^2), where (a) and (b) are real numbers. The resulting trinomial can be factored as ((a + b)^2) or ((a - b)^2). This characteristic makes perfect square trinomials particularly useful in algebra for solving equations and simplifying expressions.
Who invent the factoring perfect square trinomial?
Most of us do not know who "invented" factoring trinomials, many do not even care. Factoring is just one of the axioms that an algebra system establishes. If you really want to know, try searching on Google.
Why do perfect square trinomials have only one solution?
The way we create a perfect square trinomial is by squaring something in the form of (x-a) where a is some real number. For example (x-2)2 is x2 -4x+4 which is a perfect square trinomial. Not, write this as (x-2)(x-2) instead of (x-2)2 . To find the solutions, we write (x-2)(x-2)=0 The only solution that will make the left side equal to zero is 2. So in general, if we have a perfect square trinomial with the unknown as x, think of it as (x-a)2 or as (x-a)(x-a), then if we set this to 0, the one and only solution is x=a
Which expressions are perfect square trinomials?
Expressions of the form a2x2 + 2abx + b2 = (ax + b)2
How do you factor perfect square trinomials?
A perfect trinomial must be of the form a2x2 ± 2abxy + b2y2 and this factorises to (ax ± by)2.
What is trinomial perfect?
A trinomial is considered perfect if it can be expressed as the square of a binomial. For example, the trinomial (x^2 + 6x + 9) is a perfect square because it can be factored into ((x + 3)^2). Perfect trinomials typically take the form (a^2 + 2ab + b^2) or (a^2 - 2ab + b^2).
What is the first step on solving square of trinomials?
Giving an example of the problem.
How do you find the value of c such that each expression that is a perfect square trinomial?
The answer will depend on what c represents. Furthermore, there probably is no value of c such that each expression is a perfect square - you will need different values of c for different trinomials.The answer will depend on what c represents. Furthermore, there probably is no value of c such that each expression is a perfect square - you will need different values of c for different trinomials.The answer will depend on what c represents. Furthermore, there probably is no value of c such that each expression is a perfect square - you will need different values of c for different trinomials.The answer will depend on what c represents. Furthermore, there probably is no value of c such that each expression is a perfect square - you will need different values of c for different trinomials.
How do you describe a perfect square trinomial?
A perfect square trinomial is a quadratic expression that can be expressed as the square of a binomial. It takes the form (a^2 + 2ab + b^2) or (a^2 - 2ab + b^2), where (a) and (b) are real numbers. The resulting trinomial can be factored as ((a + b)^2) or ((a - b)^2). This characteristic makes perfect square trinomials particularly useful in algebra for solving equations and simplifying expressions.
Who invent the factoring perfect square trinomial?
Most of us do not know who "invented" factoring trinomials, many do not even care. Factoring is just one of the axioms that an algebra system establishes. If you really want to know, try searching on Google.
How do you factor the special product?
It depends what the special product is. Common special products are: - perfect square trinomials ... x^2 + 2ax + a^2 = (x + a)^2 - difference of squares ... x^2 - y^2 = (x - y)(x + y)
What are trinomials in algebra?
Trinomials are polynomials with three terms. ie. x2+2x+1
Is 200 a perfect square?
200 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.
Is 325 a perfect square?
No, 325 is not a perfect square however 324 is a perfect square.
Why do perfect square trinomials have only one solution?
The way we create a perfect square trinomial is by squaring something in the form of (x-a) where a is some real number. For example (x-2)2 is x2 -4x+4 which is a perfect square trinomial. Not, write this as (x-2)(x-2) instead of (x-2)2 . To find the solutions, we write (x-2)(x-2)=0 The only solution that will make the left side equal to zero is 2. So in general, if we have a perfect square trinomial with the unknown as x, think of it as (x-a)2 or as (x-a)(x-a), then if we set this to 0, the one and only solution is x=a
