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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: In a difference of squares problem both terms must be what squares?
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Why are some rectangles not squares?

squares are rectangles because they are both four sided but rectangles are not squares because a rectangle doesn't have equal sides and squares have equal sides


How are a rectangle and a rhomus alike?

They are both polygons, they are both four sided, and they are both types of squares.


What is the derivation of Heron's Formula?

The following proof is trigonometric, and basically uses the cosine rule. First we compute the cosine squared in terms of the sides, and then the sine squared which we use in the formula A=1/2bc·sinA to derive the area of the triangle in terms of its sides, and thus prove Heron's formula.We use the relationship x2−y2=(x+y)(x−y) [difference between two squares] [1.2]Finding the cosine squared in terms of the sidesFrom the cosine rule: We have:[1.3]Rearranging:[1.4]Because we want the sine, we first square the cosine:[1.5]Finding the SineTo use in: [1.6]Using Equation 1.5 in 1.6, we have:[1.7]Bringing all under the same denominator:[1.8]Using the difference between two squares (Equation 1.2)[1.9]Putting the above into a form where we can use the difference between two squares again we have:[1.10]Actually using the difference between two squares in both brackets, we find:[1.11]Substituting (a+b+c) for 2s, (b+c-a) for 2s-2a, etc:[1.12]Taking the square root:[1.13]Finding the AreaRecalling:[1.14]We have:[1.15]And simplified:


How are squares an trapezoids alike?

They're both quadrilaterals (have 4 sides)


How are squares and rectangles the same?

They both have four 90 degree angle

Related questions

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.


How do you determin if a polynomial is the difference of two squares?

First determine if both of the terms are squares. You can determine numerical squares by taking the square root. If the answer is a whole number, it's a square. All even numbered exponents are squares. If the sign between them indicates subtraction, you have a "difference of squares."


What is the difference between 'as on' and 'as at' in accounting?

There is no difference between both terms as both terms represents the date at which financial statements are prapared.


What is the main difference between a squares and rhombuses?

Both squares a rhombuses have all equal sides. A square is a rhombus with 4 right angles.


What is the difference between counter clockwise and anticlockwise?

There is no difference, both terms mean the opposite of clockwise.


What are the steps in factoring 9 - x2?

7


What is an difference of square?

difference of squares if something of the form a^2-b^2. So for example x^2-y^2 since both are squares. The value in looking at these is that we can factor a^2-b^2 in (a+b)(a-b)


How do you do ice sculpture 1 on HorseIsle?

Once completed, this sculpture looks like a Christmas tree. Chop out eight squares on the top of the grid from both sides so only the middle square is left untouched. Then chop out seven squares on both sides. Chop out another seven squares on both sides. This will leave three squares untouched, both times, in the middle of the grid. Next, chop out six squares on both sides, then another six squares. This will leave five squares untouched in the middle both times. Then chop out five squares on both sides, then, once again, another five squares. This will leave seven squares untouched in the middle of the grid both times. Then chop out four squares on both sides, two times. This will leave nine squares untouched in the middle of the grid. Then chop out three squares two times from both sides. This will leave eleven squares untouched in the middle of the grid both times. Then chop out only two squares on both sides. This will leave thirteen squares untouched in the middle of the grid. Then, on the bottom of the grid, chop out seven squares on both sides, leaving three squares untouched in the middle of the grid and you're done!


What is the difference between potential difference and potential drop?

There is no difference between potential difference and potential drop. Both terms refer to the difference in voltage (i.e. potential) across a component. Depending on how you look at it, both terms can refer to positive or negative differences, i.e. drop, for instance, can be negative, implying a rise.


What is the main difference between squares and rectangles?

Squares have four sides of equal length. In rectangles, the opposite sides are equal to one another. In both shapes, the internal angles are all 90°.


Is there a difference between an atomic bomb and a nuclear bomb?

There isn't much difference in these terms. Both refer to nuclear weapons, and they are general terms that can pretty much be used interchangeably.


What is difference between technical writing and documentation?

If both cover the same subject, there is no difference. In the software industry, the terms are interchangeable.

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