Example from Geometry:Take two cubes of lengths x and y:The larger "x" cube can be split into four smaller boxes (cuboids), with box A being a cube of size "y":The volumes of these boxes are:A = y3 B = x2(x − y) C = xy(x − y) D = y2(x − y)But together,...
ExampleFactor 64x3 + 125Answer:We use the Sum of 2 Cubes formula given above.64x3 + 125= (4x)3 + (5)3 = (4x + 5)[(4x)2 − (4x)(5) + (5)2] = (4x + 5)(16x2 − 20x + 25)As mentioned above, we cannot factor the expression in the second bracket any further. It...
One way is to use the formula a^2 - b^2 = (a+b)(a-b). Another is to use the method of factoring a polynomial using the fact that this can be re-written as a^2 + 0ab - b^2. What is a difference of two squares example? One example of a difference of two squares is x...
Explanation of the Formula -- Using the Sum of Cubes On the page about the sum of cubes we showed that a3+b3=a2−ab+b2a3+b3=a2−ab+b2. We can use this formula to find a factorization for a3−b3a3−b3. We start by writing a3−b3a3−b3 as a3+(−b)3a3+(−b)3...
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The volume of a given object is to be calculated by multiplying its length, width, and height. This is given by: V= l x b x h Generally, it is measured in the cubic units that are cubic litres, cubic meters, cubic centimetres, etc which indicates the number of cubes that are requir...
You can find detailed description here (the second article has an example): http://office.microsoft.com/en-us/assistance/HP010322691033.aspx http://www.beyondtechnology.com/tips016.shtml Quote: STDEVis used when the group of numbers being evaluated are only a partial sampling of the whole pop...
Here’s another simple example: Imagine that you have a bunch of ice cubes and you want to test how long it takes them to melt in various situations. You have an experiment with 1,000 equally shaped ice cubes. Some of them are made of frozen cranberry juice and some of them are froze...