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Some special cases that are relevant in practice are:

(a + b)2 = a2 + 2ab + b2

(a - b)2 = a2 - 2ab + b2

(x + a)(x + b) = x2 + (a+b)x + ab

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Special cases of the product of trinomial and binomial?

(w - 1)2


How can you introduce squaring a binomial to the learners?

You could start with multiplying two different binomials ("FOIL" and such), then squaring a binomial is just a special case. In both cases, you could give a geometric illustration (a square with sides a+b and c+d, and the product represented by area)


Why is it that the product of sum is binomial?

It depends on the product of sum of what.


Which is equivalent to (4xy 3z)2 and what type of special product is it?

The expression ((4xy^3z)^2) can be simplified using the property of exponents, resulting in (16x^2y^6z^2). This is an example of the power of a product property, where each factor is raised to the exponent. It can also be considered a special case of the binomial square if viewed as a single term raised to a power.


What special product results to a perfect square trinomial?

A perfect square trinomial results from squaring a binomial. Specifically, when a binomial of the form ( (a + b) ) or ( (a - b) ) is squared, it expands to ( a^2 + 2ab + b^2 ) or ( a^2 - 2ab + b^2 ), respectively. Both forms yield a trinomial where the first and last terms are perfect squares, and the middle term is twice the product of the binomial’s terms.


What are the way to find the product of monomial by binomial?

To find the product of a monomial by a binomial, you can use the distributive property. Multiply the monomial by each term in the binomial separately. For example, if you have a monomial (a) and a binomial (b + c), you would calculate (a \cdot b + a \cdot c). This method ensures that each term in the binomial is accounted for in the final expression.


Is it possible to have two terms in the product when a binomial is squared?

...


What is the product of a binomial and its conjugate pair called as in vocabulary?

The answer depends on the level of mathematics. With complex numbers, it is the squared magnitude of the binomial.


Is it possible to have two terms in the product when any binomial is square?

No, it is not.


How do you write two binomials such that the product is equal to zero when x equals 3 or -5?

8


Can you give me 5 example of product of two binomials?

no please give me 5 riddles about product of 2 binomial


When is the product of two binomials also a binomial?

(a-b) (a+b) = a2+b2