Question

Simplify completely 14x^5y^4 +21x^3y^2/ 7x^3y

A. 2x^8y^5 + 3x^6y^3
B. 2x^2y^4 + 3xy
C. 2x^2y^3 +3y
D. 2x^2y^3 +3y^2

Answer 1

C is the answer you have to divide 21 by 3 first which gives you 3. The x cubed cancels out because when dividing exponents you have to subtracting. The y squared minus y gives you just y. This explains the 3y

Answer 2

C.
`2x^(2)y^(3)+3y`

Explanation:

We have the expression:

`(14x^5y^4+21x^3y^2)/(7x^3y)`

which can be separeded in two terms, like this:

`(14x^5y^4)/(7x^3y) +(21x^3y^2)/(7x^3y)`

and now we can simplify each term, dividing the coefficients and using the exponent law
`(x^m)/(x^n) =x^(m-n)` (when we divide a variable we substract the exponts) and we get the following:

`2x^(5-3)y^(4-1)+3x^(3-3)y^(2-1)`

simplifying the exponents:

`2x^(2)y^(3)+3y`

which is option C.