Factoring is decomposing a higher powered expression into a lower powered expressions that are multiplied together. Since (a-b)(a^2+ab+b^2) is lower powered than a^3-b^3, (a-b)(a^2+ab+b^2) is more simplified.
The Difference of Cubes formula shows up frequently in mathematics courses and should be memorized.
The formula for factoring the difference of cubes is (a^3 - b^3)= (a-b)(a^2+ab+b^2). It works because if (a-b)(a^2+ab+b^2) is multiplied it out, then it becomes a^3 - b^3. This was probably originally determined by trial and error a long time ago.
Since x is cubed and 8 is 2^3 it factors with the Difference of Cubes Formula. (x^3-2^3)=(x-2)(x^2+2x+2^2)=(x^2+2x+4)
<span>The answer would be C. A cross section is defined is the intersection of a plane in a three-dimensional space. Therefore, cutting a cross section perpendicular to a cylinder would result to a rectangle where the height is equal to the height of the cylinder and its width is same as the diameter of the cylinder base.</span>
Solution:
The table which is about kind of jeans and it's color is
Style Color
regular light blue
loose fit indigo
boot cut washed
slim fit black
slim fit blue
(a) A regular can be chosen out of five colors, A loose fit can also be chosen in five colors,Similarly a boot cut as well as slim fit can also be chosen out of five colors.
If you consider this as a relation , total number of relation that is total jeans = 1×5 + 1×5 +1×5+1×5= 20 Jeans = 10 Pairs of jeans(Possible)
(b) Total number of jeans , if i have one pair of jeans of each possible style and color = As there are 5 colors and 4 styles , the jeans are in pair = 5×4×2=40
Number of Black color jeans = 2× black color in 4 styles= 2×4=8
Probability of an event = 
Probability of choosing a pair of black jeans at random=
Well think about it
50 pages = 1 hour (60 mins)
so it would take laine 4 hours in total to read 200 pages at the rate
hope that helps :)
