Kids these days, dont know how to add fractions.. (1/x) + (2/1)`+ (1/x) + (3/1) + (1/x^2) + (5x/1) + (6/1) Notice every number like..2, 3 and 6 I put over 1, becuase it does not change its value..3/1 = 3 for example[m any number divided by 1 = the same number]. but I did this, so I could express all the terms in the question as fractions.
Now, to add fraction we have to find a common denominator. but all our denominators (the number at the bottom of the fraction.i.e. below the line) are different.
However, x^2 being the highest power seems to solve this. so , here are the steps to solve this: 1. look at the first term (1/x), the denominator [the number below the line] is x. Now if we divide that into our common denominator, the result is x. Let me show you:
x ^2/x = x [ because x multiplied by x or x squared is equal to x^2]
Now since we know, that x into x^2 is x we multiply that by the numerator [the number on top of the line] which in this case is 1, so so far we have:
x --- x^2
next : we have the term (2/1). Well, the denominator 1 divides into the common denominator x^2 times, so the result is now:
x + 2(x^2) + -------------- x^2
and on and on...till we get to ..
x + 2x^2 + x + 3x ^2 + 1 + 5x ^3 + 6x ^2 --------------------------------------------------------- x^2
