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Sums and Differences of Cubes (and other odd powers)?
You can factor a sum or difference of cubes using the formulasa3 - b 3 = (a - b )(a2 + ab + b2)anda3 + b3 = (a + b)(a2 - ab + b2).For example, y3 + 8= y3 + 23= (y + 2)(y2 -2y + 4).Here's another example:x6 - 27 =(x2 ) 3 - 33 =(x2 -3 ) ((x2) 2 +3x2 + 9)
= (x2 -3 )(x4 + 3x2 + 9).
How do you know if a monomial is a perfect cube? It's easy. It's a cube if
1. The coefficient is a perfect cube (it can be positive or negative); 2. All the exponents on the variables are multiples of 3.
Find the greatest number of 6 digits exactly divisible by 24, 15 and 36. (Ans:999720) Ans: LCM of 24, 15, 36 LCM = 3 × 2 × 2 × 2 × 3 × 5 = 360 Now, the greatest six digit
Assumptions and Application of T Distribution Assumptions of t distribution 1. The sample observations are random 2. Samples are drawn from general distribution 3.
evaluate limit as x approaches 0 (x squared times sin (1/x)
1. A machine comprises of three transformers A, B and C. Such machine may operate if at least 2 transformers are working. The probability of each transformer working is given as di
Describe Common Phrases to Represent Math Operations? The table below shows the common phrases used in word problems to represent addition, subtraction, multiplication, and div
The next topic that we desire to discuss here is powers of i. Let's just take a look at what occurring while we start looking at many powers of i . i 1 = i
#qu Given the equation through what angle should the axes be rotated so that the term in xy be waiting from the transformed equation. estion..
Two stations due south of a leaning tower which leans towards the north are at distances a and b from its foot. If α , β be the elevations of the top of the tower from these
A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9. What is the probability that the product xy of the two
integrate sin(x) dx
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