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What is the sum and difference pattern for the product of two binomials?
a²-b²
How is factoring a polynomial different from multiplying two binomials?
The same way that factoring a number is different from multiplying two factors. In general, it is much easier to multiply two factors together, than to find factors that give a certain product.
How do you use algebra tiles to multiply two binomials?
Explain how I would use algebra times to multiply two binomials (FOIL)?
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)
What is the product of two numbers?
'Product' is another way of saying 'multiply the two numbers together'.
What is the sum and difference pattern for the product of two binomials?
a²-b²
What relationship of product of two integers to the product of two binomials?
the two consecutive positive integers whose product is 380 19 20
Which factors resulted in a product that is binomial?
Binomials are algebraic expressions of the sum or difference of two terms. Some binomials can be broken down into factors. One example of this is the "difference between two squares" where the binomial a2 - b2 can be factored into (a - b)(a + b)
You can find the product of any two binomials using the property?
distributive
You can find the product of any two binomials using what property?
distributive.
When is the product of two binomials also a binomial?
(a-b) (a+b) = a2+b2
Is the product of two binomials always be a trinomial?
No, the product of two binomials is not always a trinomial; it is typically a trinomial when both binomials are of the form (ax + b)(cx + d) where at least one of the coefficients is non-zero. However, if either binomial includes a term that results in a cancellation or if both binomials are constants, the result could be a polynomial of a lower degree or a constant. For example, multiplying (x + 2)(x - 2) results in a difference of squares, yielding a binomial (x² - 4), not a trinomial.
Will the product of two binomials after combining like terms always be trinomial?
No. A counter-example proves the falsity: Consider the two binomials (x + 2) and (x - 2). Then (x + 2)(x - 2) = x2 - 2x + 2x - 4 = x2 - 4 another binomial.
What is a product of a Binomials?
A product of binomials refers to the result of multiplying two binomial expressions, which are algebraic expressions containing two terms. For example, multiplying ((a + b)) and ((c + d)) results in a new expression obtained through the distributive property, leading to (ac + ad + bc + bd). This process is often visualized using the FOIL method (First, Outer, Inner, Last) for binomials. The resulting expression is a polynomial that may have more than two terms.
What is the answer to this question give an example of two fractions whose product is an integer due to common factors?
give an example of two fractions whose product equals 1
How do you get product of two binomials?
multiply the 1st term with whole bracket and the 2nd term with whole bracket
How is factoring a polynomial different from multiplying two binomials?
The same way that factoring a number is different from multiplying two factors. In general, it is much easier to multiply two factors together, than to find factors that give a certain product.
