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What is the difference between equal ratios and equivalent ratios?
To write equal ratios multiply both terms by the same number or divided both terms. For example, 2/ 9 is a ratio equal ratio will be 4/18. There is no difference between equal ratios and equivalent ratios.
How do you identify a difference of two squares?
The word "difference" implies subtraction. The word "squares" implies a perfect square term or number. To recognize the "difference of squares" look for 2 perfect square terms, one being subtracted from the other. Ex. x2 - 16. "x" is being squared and 16 is a perfect square. They are being subtracted. Factors: (x+4)(x-4)
How do you determine if a polynomial is the difference of two squares?
"Difference" implies subtraction. Example: The difference of 8 and 5 is 3 because 8 - 5 = 3. To determine if a polynomial is the difference you probably have to subtract one polynomial from another and check if your answer matches a given polynomial. To clarify the above, the polynomial should be able to be factorised into two distinct factors. For example x^2 - y^2 = (x + y)(x - y). This is the difference of two squares.
What are the rules of factorization?
Do in this order. 1. All, find the gfc 2. Binomial, factor as difference of squares, sum of cubes, difference of cubes. 3. Trinomial, factor as a quadratic. 4. 4 or more terms, factor by grouping.
What is a binomial factor?
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)
In a difference of squares problem terms must be perfect squares?
coefficient
In a difference of squares problem both terms must be what squares?
Perfect
Product of the sum and difference of two terms is the difference of?
wala
How many terms does the product of the sum and difference of two terms have?
7 terms
This is the product of two equal terms?
Square
A definition of difference of squares?
A difference of two squared terms, i.e.:a2 - b2This form can be factored into (a + b)(a - b).
In a difference of squares problem both terms must be squares?
perfect * * * * * Not strictly. they could both be multiples of sqaures. For example, factorise 3x3 - 48x. Neither term is a square but they do become squares when the common factor, 3x, is separated out. Also, when rationalising surds, one would use the difference of two squares but (at least) one of the terms is not a square.
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)
What are the attributes of a polynomial expression that is a difference of squares?
All terms have even powers, factorable to the form (a+b)(a-b)
Explain the difference between an expression and an equation?
An expression is a statement of terms and has no equal sign. An equation is a statement of two terms that equal each other.
What is the difference between equal ratios and equivalent ratios?
To write equal ratios multiply both terms by the same number or divided both terms. For example, 2/ 9 is a ratio equal ratio will be 4/18. There is no difference between equal ratios and equivalent ratios.
When a variable term is multiplied by itself the product?
the different of two perfect squares can be formed by taking any two perfect squared terms
