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The pattern of squaring a trinomial ((a + b + c)^2) can be expressed using the formula ((a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc). This means you square each term individually, and then add twice the product of each pair of terms. The result combines the individual squares of the terms with the cross-products, capturing all interactions within the trinomial.
What else can I help you with?
How can you tell if a trinomial is a perfect square?
A trinomial is perfect square if it can be factored into the form
Is m2 4m-4 a trinomial square?
No, ( m^2 - 4m - 4 ) is not a trinomial square. A trinomial square takes the form ( (a + b)^2 = a^2 + 2ab + b^2 ), which means it must have a perfect square as its first and last terms and a middle term that is twice the product of the square roots of those terms. In this case, the expression does not fit that pattern due to the negative constant term and the linear term not matching the required form.
Is this a trinomial square x2-10x -25?
No, the expression (x^2 - 10x - 25) is not a trinomial square. A trinomial square takes the form ((a - b)^2) or ((a + b)^2), which expands to (a^2 \pm 2ab + b^2). In this case, the last term (-25) does not match the necessary form for a perfect square trinomial, as it would need to be a positive square.
Are all trinomial are perfect square?
No.
Is x2-22x 121 a trinomial square?
The expression (x^2 - 22x - 121) is not a trinomial square. A trinomial square is typically in the form ((a - b)^2) or ((a + b)^2), which expands to (a^2 \pm 2ab + b^2). In this case, the expression can be factored into ((x - 11)^2 - 242), indicating it is not a perfect square trinomial.
How can you tell if a trinomial is a perfect square?
A trinomial is perfect square if it can be factored into the form
Is m2 4m-4 a trinomial square?
No, ( m^2 - 4m - 4 ) is not a trinomial square. A trinomial square takes the form ( (a + b)^2 = a^2 + 2ab + b^2 ), which means it must have a perfect square as its first and last terms and a middle term that is twice the product of the square roots of those terms. In this case, the expression does not fit that pattern due to the negative constant term and the linear term not matching the required form.
Is this a trinomial square x2-10x -25?
No, the expression (x^2 - 10x - 25) is not a trinomial square. A trinomial square takes the form ((a - b)^2) or ((a + b)^2), which expands to (a^2 \pm 2ab + b^2). In this case, the last term (-25) does not match the necessary form for a perfect square trinomial, as it would need to be a positive square.
Example of square of a trinomial?
If you want to know how to square a trinomial, you should first know the basic. (a+b+c)^2=? you have to square the first three terms then multiply 2 to the last three terms. All you have to do is to remember that a square of trinomial has 6 terms in the answer
Are all trinomial are perfect square?
No.
Is x2-22x 121 a trinomial square?
The expression (x^2 - 22x - 121) is not a trinomial square. A trinomial square is typically in the form ((a - b)^2) or ((a + b)^2), which expands to (a^2 \pm 2ab + b^2). In this case, the expression can be factored into ((x - 11)^2 - 242), indicating it is not a perfect square trinomial.
What can a perfect square trinomial can be factored as?
It can be factored as the SQUARE OF A BINOMIAL
Is this trinomial a trinomial square 49y2 - 35y plus 6?
Factors are (7y - 3)(7y - 2) so it's not a perfect square.
When do you say that a trinomial is a perfect square?
A trinomial is perfect square if it can be factored into the form (a+b)2 So a2 +2ab+b2 would work.
How do you complete the square to make a binomial a perfect-square trinomial?
The binomial usually has an x2 term and an x term, so we complete the square by adding a constant term. If the coefficient of x2 is not 1, we divide the binomial by that coefficient first (we can multiply the trinomial by it later). Then we divide the coefficient of x by 2 and square that. That is the constant that we need to add to get the perfect square trinomial. Then just multiply that trinomial by the original coefficient of x2.
Is m2 plus 4m-4 a trinomial square?
No.
Is 49y2-35 plus 6 a trinomial square?
No.
