Expressions of the form a2x2 + 2abx + b2
= (ax + b)2
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.
It is a trinomial of the form x2 + 2xy + y2 where x and y are integers because:it is the square of (x + y) andit is a trinomial.And some clever person decided that it might make sense to use the phrase "perfect square tronimial" to describe something which is a perfect square and also a trinomial.
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).
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.
No, 325 is not a perfect square however 324 is a perfect square.
A perfect trinomial must be of the form a2x2 ± 2abxy + b2y2 and this factorises to (ax ± by)2.
A trinomial is an equation, containing three expressions, such as K2+12K+35.
It is a trinomial of the form x2 + 2xy + y2 where x and y are integers because:it is the square of (x + y) andit is a trinomial.And some clever person decided that it might make sense to use the phrase "perfect square tronimial" to describe something which is a perfect square and also a trinomial.
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).
There are no equations nor inequalities in the question only trinomial expressions. Expressions cannot be solved.
Giving an example of the problem.
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.
If the value applied in the radical is not a perfect square, it is irrational. 25; 400; and 625 are perfect squares and are rational when applied in a radical.
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.
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)
Trinomials are polynomials with three terms. ie. x2+2x+1
An irrational expression is a mathematical expression that contains one or more irrational numbers, such as square roots of non-perfect squares or numbers that cannot be expressed as a simple fraction. These expressions cannot be simplified to a finite decimal or fraction.