add. express your answer in simplest form.?

Question

3y/y^2+5y+4+2y/y^2-1. please show your work

Answer 1

3y/y^2+5y+4+2y/y^2-1
3y/y*y + 5y + (4-1) + 2y/y*y
3/y + 5y + 3 + 2/y (y gets cancellef from numerator and denominator in the term 3y/y^2 and 2y/y^2)
3/y+2/y +5y + 3
5/y + 5y + 3

Answer 2

The strategy to reducing an expression to its simplest form is to first simplify each term individually, then group like terms together. Like terms are those with the same exponent on the variable (or those with no exponent). Remember that "1/y" can also be written as "y^(-1)".

The simplification would go as follows:

3y/y^2+5y+4+2y/y^2-1

cancel factors of y in the numerator and denominator of each term:

3/y+5y+4+2/y-1

group like terms together:

(3/y+2/y) + 5y + (4-1)

simplify these groups to arrive at the simplest form:

5/y + 5y + 3

Answer 3

3y/y^2+5y+4+2y/y^2-1 =
3/y + 5y + 4 + 2/y - 1 =
(3/y + 2/y) +(5y + 4 - 1) =
5/y + 5y + 3 period

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Answer 4

3y/y^2+5y+4+2y/y^2-1
= (3/y)+5y+4+(2/y)-1
= (5/y)+5y+3

Answer 5

do you recommend 2x/x^2 + 15x + fifty 4 + 4/(x+8) ? observe you have 2 distinctive denominators first term and final term. ought to make this the liquid crystal reveal (least hardship-loose denominator) [x^2(x+8)] desires to be decrease than each and every term first term multiply (x+8)/(x+8) and final term multiply (x^2/x^2) [2x*(x+8)]/[x^2(x+8)] + [15x*x^2(x+8)]/[x^2(x+8)] + [fifty 4 * [x^2(x+8)]]/[x^2(x+8)] + [4*x^2]/[x^2(x+8)] now all 4 words are over a hardship-loose denominator [x^2(x+8)], we could call this liquid crystal reveal for ease of writing in this dazzling try format [2x*(x+8) + 15x*x^2(x+8) + fifty 4*x^2(x+8) + 4x^2] / liquid crystal reveal [(2x^2+16x)+(15x^4+120x^3)+(54x^3+432x... deliver jointly like words and you get [25x^4 + 174x^3 + 438x^2 + 16x]/liquid crystal reveal you are able to ingredient out an x suitable and backside so [25x^3 + 174x^2 + 438x + sixteen]/[x^2+8x)] must be the respond take a while stepping by this there is multiple component