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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.
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Which expressions are perfect square trinomials?
Expressions of the form a2x2 + 2abx + b2 = (ax + b)2
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.
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
Is 38 a perfect square?
38 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.
